Výsledky vyhledávání - "Jehanne Dousse"

Akademický článek

A generalisation of two partition theorems of Andrews

Autor: Jehanne Dousse

Publikováno v: Discrete Mathematics & Theoretical Computer Science, Vol DMTCS Proceedings, 27th..., Iss Proceedings (2015)

In 1968 and 1969, Andrews proved two partition theorems of the Rogers-Ramanujan type which generalise Schur’s celebrated partition identity (1926). Andrews’ two generalisations of Schur’s theorem went on to become two of the most influential re

Externí odkaz: https://doaj.org/article/294dadd51ec74a428cfd1edb14c9d32c

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Partition identities from higher level crystals of 𝐴₁⁽¹⁾

Autor: Jehanne Dousse, Leonard Hardiman, Isaac Konan

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::e71907a7d22ab0a15a85630158e0edce
https://doi.org/10.1090/proc/16417

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New companions to the Andrews–Gordon identities motivated by commutative algebra

Autor: Pooneh Afsharijoo, Jehanne Dousse, Frédéric Jouhet, Hussein Mourtada

Publikováno v: Advances in Mathematics. 417:108946

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::efc25f83bd3c63aaca2dddda89055c44
https://doi.org/10.1016/j.aim.2023.108946

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Characters of level $1$ standard modules of $C_n^{(1)}$ as generating functions for generalised partitions

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

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Cylindric partitions and some new $A_2$ Rogers-Ramanujan identities

Autor: Ali Kemal Uncu, Jehanne Dousse, Sylvie Corteel

Publikováno v: Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society, American Mathematical Society, 2021, pp.1. ⟨10.1090/proc/15570⟩

We study the generating functions for cylindric partitions with profile $(c_1,c_2,c_3)$ for all $c_1,c_2,c_3$ such that $c_1+c_2+c_3=5$. This allows us to discover and prove seven new $A_2$ Rogers-Ramanujan identities modulo $8$ with quadruple sums,

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::098ce6ee650ae04bd9d87f43d9a5626c
https://hal.archives-ouvertes.fr/hal-03448498

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Asymptotics for skew standard Young tableaux via bounds for characters

Autor: Jehanne Dousse, Valentin Féray

Publikováno v: Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society, American Mathematical Society, 2019, 147 (10), pp.4189-4203. ⟨10.1090/proc/14558⟩

We are interested in the asymptotics of the number of standard Young tableaux $f^{\lambda/\mu}$ of a given skew shape $\lambda/\mu$. We mainly restrict ourselves to the case where both diagrams are balanced, but investigate all growth regimes of $|\m

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3f8f82236ae167bbb1db662310400c26
https://doi.org/10.1090/proc/14558

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Multi-grounded partitions and character formulas

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

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ON PARTITION IDENTITIES OF CAPPARELLI AND PRIMC

Autor: Jehanne Dousse

Publikováno v: Advances in Mathematics
Advances in Mathematics, Elsevier, 2020, 370

We show that, up to multiplication by a factor $\frac{1}{(cq;q)_{\infty}}$, the weighted words version of Capparelli's identity is a particular case of the weighted words version of Primc's identity. We prove this first using recurrences, and then bi

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::044bf85475bee7c6a5737b499a665a5b
https://hal.archives-ouvertes.fr/hal-02096711/document

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An overpartition analogue of q-binomial coefficients, II: Combinatorial proofs and (q,t)-log concavity

Autor: Jehanne Dousse, Byungchan Kim

Publikováno v: Journal of Combinatorial Theory, Series A. 158:228-253

In a previous paper, we studied an overpartition analogue of Gaussian polynomials as the generating function for overpartitions fitting inside an $m \times n$ rectangle. Here, we add one more parameter counting the number of overlined parts, obtainin

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ac5ad57fc4cb15b8d87a7aed40a765d5
https://doi.org/10.1016/j.jcta.2018.03.011

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Generalizations of Capparelli's identity

Autor: Jeremy Lovejoy, Jehanne Dousse

Publikováno v: Bulletin of the London Mathematical Society
Bulletin of the London Mathematical Society, London Mathematical Society, 2019, 51 (2), pp.193-206. ⟨10.1112/blms.12218⟩

Using jagged overpartitions, we give three generalizations of a weighted word version of Capparelli's identity due to Andrews, Alladi, and Gordon and present several corollaries.
13 pages

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::11f1d07289ed2fd788c222c43142ecac
https://hal.archives-ouvertes.fr/hal-02096784/document

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