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-03448464 v1

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-03916647 v1

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-03916636 v1

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-03012736 v1
Image document

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-03662765 v1

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-03916635 v1
Image document

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-03916639 v1

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-03916640 v1

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-03916642 v1

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-03916645 v1