Zobrazeno 1 - 10
of 13
pro vyhledávání: '"Isaac Konan"'
Autor:
ISAAC KONAN
Publikováno v:
Annales de l’Institut Henri Poincaré D. 9:605-642
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::67f1f3ab4165a06243662462136326d5
https://doi.org/10.4171/aihpd/150
https://doi.org/10.4171/aihpd/150
Autor:
ISAAC KONAN
Publikováno v:
HAL
Let $S=(s_n)_{n\geq 1}$ be a sequence with elements in a commutative monoid $(\mathcal{M},+,0)$. In this paper, we provide an explicit formula for $$\sum_{\la} C(\la) q^{\sum_{n\geq 1} \la_n\cdot s_n}$$ where $\la=(\la_1,\ldots)$ run through some sub
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c5c306f68154c1df209e443d3ef5dda5
https://hal.science/hal-03916648
https://hal.science/hal-03916648
Autor:
ISAAC KONAN
Publikováno v:
HAL
Recent works of Andrews--Newman and Hopkins--Sellers unveil an interesting relation between two partition statistics, the crank and the mex. They state that, for a positive integer $n$, there are as many partitions of $n$ with non-negative crank as p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7f035dced30f46024f51abbb934f3e22
https://hal.science/hal-03916647
https://hal.science/hal-03916647
Autor:
ISAAC KONAN
For all positive integers $k,l,n$, the Little Glaisher theorem states that the number of partitions of $n$ into parts not divisible by $k$ and occurring less than $l$ times is equal to the number of partitions of $n$ into parts not divisible by $l$ a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ef7ddef695d6c3ba19102b32badd4062
Autor:
Jehanne Dousse, ISAAC KONAN
Publikováno v:
HAL
We give a new simple formula for the energy function of a level $1$ perfect crystal of type $C_n^{(1)}$ introduced by Kang, Kashiwara and Misra. We use this to give several expressions for the characters of level $1$ standard modules as generating fu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fbfcc7926c31294f0846b2e4e675a6c8
https://hal.science/hal-03916649
https://hal.science/hal-03916649
Autor:
ISAAC KONAN
Publikováno v:
Journal of Combinatorial Theory, Series A. 191:105640
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bf20178a61a7f1751caa86c0b79b2a26
https://doi.org/10.1016/j.jcta.2022.105640
https://doi.org/10.1016/j.jcta.2022.105640
Autor:
Jehanne Dousse, ISAAC KONAN
Publikováno v:
HAL
We introduce a new generalisation of partitions, multi-grounded partitions, related to ground state paths indexed by dominant weights of Lie algebras. We use these to express characters of irreducible highest weight modules of Kac-Moody algebras of a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ceec7a2891e4019ef729395cc76eb6a0
http://arxiv.org/abs/2103.04983
http://arxiv.org/abs/2103.04983
Autor:
ISAAC KONAN
Publikováno v:
European Journal of Combinatorics. 103:103524
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::757d584a0d6adecb87fa78e22d823bf4
https://doi.org/10.1016/j.ejc.2022.103524
https://doi.org/10.1016/j.ejc.2022.103524
Autor:
ISAAC KONAN
Publikováno v:
Combinatorics [math.CO]. Université de Paris, 2020. English. ⟨NNT : 2020UNIP7087⟩
HAL
HAL
The topic of this thesis belongs to the theory of integer partitions, at the intersection of combinatorics and number theory. In particular, we study Rogers-Ramanujan type identities in the framework of the method of weighted words. This method revis
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::ebd9119847f93d932ee4fd95997fac8f
https://tel.archives-ouvertes.fr/tel-03226154
https://tel.archives-ouvertes.fr/tel-03226154