Jean-Yves Thibon
109
Documents
Publications
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Hopf algebras of m-permutations, (m + 1)-ary trees, and m-parking functionsAdvances in Applied Mathematics, 2020, 117, pp.102019.1-51. ⟨10.1016/j.aam.2020.102019⟩
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Rayleigh-Schrödinger series and Birkhoff decompositionLetters in Mathematical Physics, 2018, 108 (7), pp.1583-1600. ⟨10.1007/s11005-017-1040-1⟩
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On composition polynomialsJournal of Combinatorial Theory, Series A, 2017, 152, pp.1-9. ⟨10.1016/j.jcta.2017.06.005⟩
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Entanglement of four-qubit systems: A geometric atlas with polynomial compass II (the tame world)Journal of Mathematical Physics, 2017, 58 (2), pp.022201. ⟨10.1063/1.4975098⟩
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Free cumulants, Schröder trees, and operadsAdvances in Applied Mathematics, 2017, 88, pp.92 - 119. ⟨10.1016/j.aam.2017.02.002⟩
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Deformations of shuffles and quasi-shufflesAnnales de l'Institut Fourier, 2016, 66 (1), pp.209-237. ⟨10.5802/aif.3010⟩
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Binary shuffle bases for quasi-symmetric functionsRamanujan Journal, 2016, 40, pp.207-225. ⟨10.1007/s11139-016-9777-1⟩
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Quasi-symmetric functions as polynomial functions on Young diagramsJournal of Algebraic Combinatorics, 2015, 41 (3), pp.669 - 706. ⟨10.1007/s10801-014-0549-y⟩
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Entanglement of four qubit systems: a geometric atlas with polynomial compas I (the finite world)Journal of Mathematical Physics, 2014, 55, pp.012202. ⟨10.1063/1.4858336⟩
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Polynomial realizations of some combinatorial Hopf algebrasJournal of Noncommutative Geometry, 2014, 8 (1), pp.141-162. ⟨10.4171/JNCG/151⟩
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Mould calculus, polyhedral cones, and characters of combinatorial Hopf algebrasAdvances in Applied Mathematics, 2013, 51 (2), pp.177-227. ⟨10.1016/j.aam.2013.02.003⟩
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On some noncommutative symmetric functions analogous to Hall-Littlewood and Macdonald polynomialsInternational Journal of Algebra and Computation, 2013, 23 (04), pp.779.1-779.20. ⟨10.1142/S0218196713400092⟩
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Natural endomorphisms of quasi-shuffle Hopf algebrasBulletin de la société mathématique de France, 2013, 141, pp.107-130. ⟨10.24033/bsmf.2644⟩
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Noncommutative symmetric functions with matrix parametersJournal of Algebraic Combinatorics, 2012, 37 (4), pp.621-642. ⟨10.1007/s10801-012-0378-9⟩
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Noncommutative Symmetric Functions and an Amazing MatrixAdvances in Applied Mathematics, 2012, 48, pp.528-534. ⟨10.1016/j.aam.2011.11.008⟩
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Geometric descriptions of entangled states by auxiliariy varietiesJournal of Mathematical Physics, 2012, 53 (10), pp.102203.1-102203.30. ⟨10.1063/1.4753989⟩
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The algebraic combinatorics of snakesJournal of Combinatorial Theory, Series A, 2012, 119 (8), pp.1613-1638. ⟨10.1016/j.jcta.2012.05.002⟩
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Supercharacters, symmetric functions in noncommuting variables, and related Hopf algebrasAdvances in Mathematics, 2011, 229, pp.2310-2337. ⟨10.1016/j.aim.2011.12.024⟩
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Noncommutative Symmetric Functions VII: Free Quasi-Symmetric Functions RevisitedAnnals of Combinatorics, 2011, 15 (4), pp.655-673. ⟨10.1007/s00026-011-0115-4⟩
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Generalized descent patterns in permutations and associated Hopf algebrasEuropean Journal of Combinatorics, 2011, 32 (4), pp.618-627. ⟨10.1016/j.ejc.2011.01.004⟩
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Representation theory of the higher order peak algebrasJournal of Algebraic Combinatorics, 2010, 32 (4), pp.465-495. ⟨10.1007/s10801-010-0223-y⟩
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Inversion of some series of free quasi-symmetric functionsEuropean Journal of Combinatorics, 2010, 31 (1), pp.29-33. ⟨10.1016/j.ejc.2009.05.004⟩
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Combinatorial Hopf algebras, noncommutative Hall-Littlewood functions, and permutation tableauxAdvances in Mathematics, 2010, 224 (4), pp.1311-1348. ⟨10.1016/j.aim.2010.01.006⟩
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Free quasi-symmetric functions and descent algebras for wreath products, and noncommutative multi-symmetric functionsDiscrete Mathematics, 2010, 310 (24), pp.3584-3606. ⟨10.1016/j.disc.2010.09.008⟩
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The (1-E)-transform in combinatorial Hopf algebrasJournal of Algebraic Combinatorics / Journal of Algebraic Combinatorics An International Journal, 2010, 33 (2), pp.277-312. ⟨10.1007/s10801-010-0245-5⟩
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Permutation statistics related to a class of noncommutative symmetric functions and generalizations of the Genocchi numbersSelecta Mathematica, 2009, 15 (1), pp.105-119. ⟨10.1007/s00029-009-0489-x⟩
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Superization and (q,t)-specialization in combinatorial Hopf algebrasThe Electronic Journal of Combinatorics, 2009, 16 (2), pp.21.1-21.46
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Noncommutative symmetric Bessel functionsCanadian Mathematical Bulletin, 2008, 51 (3), pp.424-438. ⟨10.4153/CMB-2008-043-3⟩
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Sur une conjecture de DehornoyComptes rendus de l'Académie des sciences. Série I, Mathématique, 2008, 346 (7-8), pp.375-378
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Trees, functional equations, and combinatorial Hopf algebrasEuropean Journal of Combinatorics, 2008, 29 (7), pp.1682--1695. ⟨10.1016/j.ejc.2007.09.005⟩
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Noncommutative Symmetric Functions and Lagrange InversionAdvances in Applied Mathematics, 2008, 40 (1), pp.8-35
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A one-parameter family of dendriform identitiesEuropean Journal of Combinatorics, 2008, ? (1), 12pp
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An operational calculus for the Mould operadInternational Mathematics Research Notices, 2008, 2008 (9), pp.1-22. ⟨10.1093/imrn/rnn018⟩
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Period polynomials and Ihara bracketsJournal of Lie Theory, 2007, 17 (2), pp.229-239
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NONCOMMUTATIVE SYMMETRIC FUNCTIONS ASSOCIATED WITH A CODE, LAZARD ELIMINATION, AND WITT VECTORSDiscrete Mathematics and Theoretical Computer Science, 2007, Vol. 9 no. 2 (2), pp.59-72. ⟨10.46298/dmtcs.378⟩
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hal-00084906v1
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Hopf algebras and dendriform structures arising from parking functionsFundamenta Mathematicae, 2007, 193 (1), pp.189-241
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Parking functions and descent algebrasAnnals of Combinatorics, 2007, 11 (1), pp.59-68
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Unitary invariants of $k$-qubitsMathematical Structures in Computer Science, 2007, 17 (1), pp.1133-1151
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Unitary invariants of qubit systemsMathematical Structures in Computer Science, 2007, 17 (6), pp.1133-1151
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Commutative combinatorial Hopf algebrasJournal of Algebraic Combinatorics, 2007, 28 (1), pp.65-95. ⟨10.1007/s10801-007-0077-0⟩
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Construction of dendriform trialgebrasComptes rendus de l'Académie des sciences. Série I, Mathématique, 2006, 342 (6), pp.365-369
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Algebraic invariants of five qubitsJournal of Physics A: Mathematical and Theoretical, 2006, 39 (2), pp.371-377
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Sur une conjecture de DehornoyComptes rendus de l'Académie des sciences. Série I, Mathématique, 2006, 346 (7-8), pp.375-378. ⟨10.1016/j.crma.2008.02.009⟩
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hal-00484678v1
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Yang-Baxter bases of 0-Hecke algebras and representation theory of 0-Ariki-Koike-Shoji algebrasAdvances in Mathematics, 2006, 205 (2), pp.504-548. ⟨10.1016/j.aim.2005.07.016⟩
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The algebra of binary search treesTheoretical Computer Science, 2005, 339 (1), pp.129-165
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hal-00622706v1
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Higher Order Peak AlgebrasAnnals of Combinatorics, 2005, 9 (4), pp.411-430
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The moduli space of three qutrit statesJournal of Mathematical Physics, 2004, 45, pp.4855-4867. ⟨10.1063/1.1809255⟩
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hal-00084693v1
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Hopf Algebras of GraphsComptes rendus de l'Académie des sciences. Série I, Mathématique, 2004, 339 (9), pp.607--610. ⟨10.1016/j.crma.2004.09.012⟩
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Hyperdeterminantal calculations of Selberg's and Aomoto's integralsMolecular Physics, 2004, In Memory of Brian Garner Wybourne, 102 (11-12), pp.1351-1359
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hal-00085637v1
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Algèbre de Hopf de graphesComptes rendus de l'Académie des sciences. Série I, Mathématique, 2004, 339 (9), pp.607-610
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The peak algebra and the Hecke-Clifford algebras at $q=0$Journal of Combinatorial Theory, Series A, 2004, 107 (1), pp.1-19
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Polynomial invariants of four qubitsPhysical Review A : Atomic, molecular, and optical physics [1990-2015], 2003, 67 (4), pp.042303, 5
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On some properties of the algebra of planar binary treesComptes Rendus. Mathématique, 2003, 337 (9), pp.565--568. ⟨10.1016/j.crma.2003.09.021⟩
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Hankel hyperdeterminants and Selberg integralsJournal of Physics A: Mathematical and Theoretical, 2003, 36 (19), pp.5267-5292
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Sur quelques propriétés de l'algèbre des arbres binairesComptes rendus de l'Académie des sciences. Série I, Mathématique, 2003, 337 (9), pp.565-568
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A complete set of covariants of the four qubit systemJournal of Physics A: Mathematical and Theoretical, 2003, 36 (38), pp.9915-9927
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Performance analysis of demodulation with diversity - A combinatorial approach I : Symmetric function theoretical methodsDiscrete Mathematics and Theoretical Computer Science, 2002, 5, pp.191-204
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Pfaffian and hafnian identities in shuffle algebrasAdvances in Applied Mathematics, 2002, 29 (4), pp.620-646
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Noncommutative symmetric functions. VI. Free quasi-symmetric functions and related algebrasInternational Journal of Algebra and Computation, 2002, 12 (5), pp.671-717
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Un analogue du monoïde plaxique pour les arbres binaires de rechercheComptes rendus de l'Académie des sciences. Série I, Mathématique, 2002, 335 (7), pp.577-580
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An overview of $\Lambda$-type operations on quasi-symmetric functionsCommunications in Algebra, 2001, 29 (9), pp.4277-4303
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The cycle enumerator of unimodal permutationsAnnals of Combinatorics, 2001, 3-4, pp.493-500
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Vertex operators and the class algebras of symmetric groupsZapiski Nauchnykh Seminarov. Sankt-Peterburgskoe Otdelenie. Matematicheskiui Institut. Steklova.(POMI), 2001, 283 (Teor. Predst. Din. Sist. Komb. i Algoritm. Metody. 6), pp.156-177
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An overview of Λ-type operations on quasi-symmetric functionsCommunications in Algebra, 2001, 29 (9), pp.4277-4303
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Noncommutative symmetric functions V : A degenerate version of Uq(GlN )International Journal of Algebra and Computation, 1999, 9, 3/4, pp.405-430
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Algebraic combinatorics with Maple and ACEMaple Tech, 1997, 4, (1), pp.43-50
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Noncommutative symmetric functions III : Deformations of Cauchy and convolution algebrasDiscrete Mathematics and Theoretical Computer Science, 1997, Vol. 1, pp.159-216. ⟨10.46298/dmtcs.231⟩
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Noncommutative symmetric functions IV : Quantum linear groups and Hecke algebras at q = 0Journal of Algebraic Combinatorics, 1997, 6, (4), pp.339-376
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Noncommutative symmetric functions II : Transformations of alphabetsInternational Journal of Algebra and Computation, 1997, 7, (2), pp.181-264
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Fonctions quasi-symétriques, fonctions symétriques non commutatives et algèbres de Hecke à q = 0Comptes rendus de l'Académie des sciences. Série I, Mathématique, 1996, 322, pp.107-112
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Noncommutative symmetric functionsAdvances in Mathematics, 1995, 112, pp.218-348
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Euler-Poincaré characteristic and polynomial representations of Iwahori-Hecke algebrasResearch Institute for Mathematical Sciences, 1995, 31, (2), pp.179-201
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A CONJECTURE FOR THE COMPUTATION OF THE DECOMPOSITION MATRICES OF THE HECKE ALGEBRAS OF TYPE-A AT ROOTS OF UNITYComptes rendus de l'Académie des sciences. Série I, Mathématique, 1995, 321 (5), pp.511--516
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KOSTKA-FOULKES POLYNOMIALS AND CRYSTAL GRAPHS OF QUANTUM GROUPS OF TYPE A(N)Comptes rendus de l'Académie des sciences. Série I, Mathématique, 1995, 320 (2), pp.131--134
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CRYSTAL GRAPHS AND Q-ANALOGS OF WEIGHT MULTIPLICITIES FOR THE ROOT-SYSTEM A(N)Letters in Mathematical Physics, 1995, 35 (4), pp.359--374. ⟨10.1007/BF00750843⟩
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Déformations de projecteurs de LieComptes rendus de l'Académie des sciences. Série I, Mathématique, 1994, 319, pp.909-914
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A Hopf-Algebra Approach to Inner PlethysmAdvances in Mathematics, 1994, 104 (1), pp.30--58. ⟨10.1006/aima.1994.1019⟩
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REDUCED NOTATION, INNER PLETHYSMS AND THE SYMMETRICAL GROUPJournal of Physics A: Mathematical and Theoretical, 1993, 26 (24), pp.7461--7478. ⟨10.1088/0305-4470/26/24/019⟩
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Noncommutative free cumulantsFormal Power Series and Algebraic Combinatorics, Jul 2017, London, United Kingdom. pp.Article #58
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Combinatorics of Poincaré's and Schröder's equations Resurgence, Physics and Numbers, F. Fauvet, D. Manchon, S. Marmi and D. Sauzin May 2015, Pise, Italy
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Super quasi-symmetric functions via Young diagrams26th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2014), 2014, Chicago, United States. pp.169-180, ⟨10.46298/dmtcs.2390⟩
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Noncommutative symmetric functions with matrix parameters24th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2012), 2012, Nagoya, Japan. pp.515-526, ⟨10.46298/dmtcs.3059⟩
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Supercharacters, symmetric functions in noncommuting variables (extended abstract)23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011), 2011, Reykjavik, Iceland. pp.3-14, ⟨10.46298/dmtcs.2967⟩
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The # product in combinatorial Hopf algebras23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011), 2011, Reykjavik, Iceland. pp.75-86, ⟨10.46298/dmtcs.2892⟩
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Unital versions of the higher order peak algebras21st International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2009), 2009, Hagenberg, Austria. pp.13-24, ⟨10.46298/dmtcs.2729⟩
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From symmetric functions to qubits.Mathematical Foundations of Quantum Information, Nov 2009, Seville, Spain
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Polynomial realizations of some trialgebras18th Formal Power Series and Algebraic Combinatorics (FPSAC'06), 2006, San Diego, USA, France. pp.243-254
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Multivariate generalizations of the Foata-Schützenberger equidistributionFourth Colloquium on Mathematics and Computer Science Algorithms, Trees, Combinatorics and Probabilities, 2006, Nancy, France. pp.289-300, ⟨10.46298/dmtcs.3511⟩
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Algebraic invariant of $5$-qubitsNato Advanced Study Institute School on Physics and Computer Science - Poster session, 2005, Cargèse, France. 10pp
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Introduction to noncommutative symmetric functionsPhysics and Computer Science: From Numbers and Languages to (Quantum) Cryptography, 2005, Institut d'études Scientifiques de Cargèse, France. pp.231-251
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Parkization of words and its algebraic applications5th International Conference on Words, 2005, France. 10pp
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Noncommutative symmetric functions associated with a code, Lazard factorisation and Witt vectors10èmes Journées Montoises, 2004, Liège, France. 10pp
Conference papers
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An analogue of the plactic monoid for binary search trees4th International Conference on Combinatorics on Words, 2003, Turku, Finland, France. pp.27-35
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Some generalizations of quasi-symmetric functions and noncommutative symmetric functions12th Formal Power Series and Algebraic Combinatorics (FPSAC'00), 2000, Moscow, Russia, France. pp.170-178
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Littlewood-Richardson coefficients and Kazhdan-Lusztig polynomialsCombinatorial methods in representation theory (Kyoto, 1998), 2000, Tokyo, France. pp.155-220
Conference papers
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A Hopf algebra of parking functionsPoster session of 16th Formal Power Series and Algebraic Combinatorics (FPSAC'04), 2004, France. pp.215-226, 2004
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Algebra and Applications 2Wiley, 1, 2021, ⟨10.1002/9781119880912.ch3⟩
Books
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GROUP 24: Physical and Mathematical Aspects of Symmetries. Proceedings of the 24th International Colloquium on Group Theoretical Methods in Physics, Paris, 15-20 July 2002c1000pp, 2003
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Interaction of combinatorics and representation theoryMathematical Society of Japan, 11, pp.viii+145, 2001, MSJ Memoirs
Books
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Induced representations of affine Hecke algebras and canonical bases of quantum groups?. Studies in memory of Issai Schur, 210, Birkhäuser Boston, pp.115-153, 2003, Progr. Math
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The Plactic MonoidLothaire M. Algebraic Combinatoric on Words, Cambridge University Press, 10pp., 2002
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Lectures on noncommutative symmetric functions?. Interaction of combinatorics and representation theory, 11, Math. Soc. Japan, pp.39-94, 2001, MSJ Mem
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Duplicial algebras and Lagrange inversion2012
Preprints, Working Papers, ...
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Inversion of some series of free quasi-symmetric functions2008
Preprints, Working Papers, ...
hal-00325271v1
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Noncommutative Symmetric Functions VII: Free Quasi-Symmetric Functions Revisited2008
Preprints, Working Papers, ...
hal-00325270v1
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Higher order peak algebras2006
Preprints, Working Papers, ...
hal-00018554v1
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The polynomial invariants of four qubits2005
Preprints, Working Papers, ...
hal-00084700v1
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A complete set of covariants of the four qubit system2003
Preprints, Working Papers, ...
hal-00084695v1
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Hankel hyperdeterminants and Selberg integrals2002
Preprints, Working Papers, ...
hal-00084686v1
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