Isaac KONAN

15
Documents

Publications

Publications

Partition identities from higher level crystals of $A_1^{(1)}$

Jehanne Dousse , Leonard Hardiman , Isaac Konan

Proceedings of the American Mathematical Society, 2025, 153 (4), pp.1363-1382. ⟨10.1090/proc/16417⟩

Article dans une revue hal-03448464v1

A bijective proof of a generalization of the non-negative crank--odd mex identity

Isaac Konan

The Electronic Journal of Combinatorics, 2023, 30 (1), ⟨10.37236/11472⟩

Article dans une revue hal-03916647v1

The arithmetical combinatorics of k,l-regular partitions

Isaac Konan

Discrete Mathematics, 2023, 346 (3), pp.113278. ⟨10.1016/j.disc.2022.113278⟩

Article dans une revue hal-03916636v1

Generalisations of Capparelli's and Primc's identities, I: coloured Frobenius partitions and combinatorial proofs

Jehanne Dousse , Isaac Konan

Advances in Mathematics, 2022, 408 B, pp.108571. ⟨10.1016/j.aim.2022.108571⟩

Article dans une revue hal-03012736v1

Weighted words at degree two, I: Bressoud’s algorithm as an energy transfer

Isaac Konan

Annales de l’Institut Henri Poincaré (D) Combinatorics, Physics and their Interactions, 2022, 9 (4), pp.605-642. ⟨10.4171/AIHPD/150⟩

Article dans une revue hal-03916635v1
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The (k,l) - Euler theorem and the combinatorics of (k,l) - sequences

Isaac Konan

European Journal of Combinatorics, 2022, 103, pp.103524. ⟨10.1016/j.ejc.2022.103524⟩

Article dans une revue hal-03662765v1
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Beyond Göllnitz' theorem II: Arbitrarily many primary colors

Isaac Konan

Journal of Combinatorial Theory, Series A, 2022, 191, pp.105640. ⟨10.1016/j.jcta.2022.105640⟩

Article dans une revue hal-03916639v1

Weighted Words at Degree Two, II: Flat Partitions, Regular Partitions, and Application to Level One Perfect Crystals

Isaac Konan

The Electronic Journal of Combinatorics, 2022, 29 (1), ⟨10.37236/10442⟩

Article dans une revue hal-03916640v1

Beyond Göllnitz' Theorem I: A bijective approach

Isaac Konan

Journal of Combinatorial Theory, Series A, 2021, 180, pp.105426. ⟨10.1016/j.jcta.2021.105426⟩

Article dans une revue hal-03916642v1

A bijective proof and generalization of Siladić’s Theorem

Isaac Konan

European Journal of Combinatorics, 2020, 87, pp.103101. ⟨10.1016/j.ejc.2020.103101⟩

Article dans une revue hal-03916645v1