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pro vyhledávání: '"Wahiche, David"'
Autor:
Lecouvey, Cédric, Wahiche, David
We expand the affine Weyl denominator formulas as signed $q$-series of ordinary Weyl characters running over the affine Grassmannian. Here the grading in $q$ coincides with the (dual) atomic length of the root system considered as introduced by Chape
Externí odkaz:
http://arxiv.org/abs/2404.10532
Autor:
Wahiche, David
We explore some connections between vectors of integers and integer partitions seen as bi-infinite words. This methodology enables us on the one hand to obtain enumerations connecting products of hook lengths and vectors of integers. This yields on t
Externí odkaz:
http://arxiv.org/abs/2306.08071
Autor:
Wahiche, David
We explore some connections between vectors of integers and integer partitions seen as bi-infinite words. This methodology enables us to give a combinatorial interpretation of the Macdonald identities for affine root systems of the seven infinite fam
Externí odkaz:
http://arxiv.org/abs/2304.01394
Autor:
Wahiche, David
Publikováno v:
Combinatorial Theory, 2(2) (2022) #13, pp.32
In 2011, Han and Ji proved addition-multiplication theorems for integer partitions, from which they derived modular analogues of many classical identities involving hook-length. In the present paper, we prove addition-multiplication theorems for the
Externí odkaz:
http://arxiv.org/abs/2107.06793