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pro vyhledávání: '"Li, Zhitai"'
In 2000, Ariki and Mathas showed that the simple modules of the Ariki--Koike algebras $\mathcal{H}_{\mathbb{C},q;Q_1,\ldots, Q_m}\big(G(m, 1, n)\big)$ (when the parameters are roots of unity and $q\neq 1$) are labeled by the so-called Kleshchev multi
Externí odkaz:
http://arxiv.org/abs/2209.07713
Let $\mathscr{S}$ denote the set of integer partitions into parts that differ by at least $3$, with the added constraint that no two consecutive multiples of $3$ occur as parts. We derive trivariate generating functions of Andrews--Gordon type for pa
Externí odkaz:
http://arxiv.org/abs/2110.13247
The $k$-measure of an integer partition was recently introduced by Andrews, Bhattacharjee and Dastidar. In this paper, we establish trivariate generating function identities counting both the length and the $k$-measure for partitions and distinct par
Externí odkaz:
http://arxiv.org/abs/2105.01758
Akademický článek
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Autor:
Chern, Shane, Li, Zhitai
Publikováno v:
Discrete Math. 343 (2020), no. 7, 111876
This paper will primarily present a method of proving generating function identities for partitions from linked partition ideals. The method we introduce is built on a conjecture by George Andrews and that those generating functions satisfy some $q$-
Externí odkaz:
http://arxiv.org/abs/1809.08655
Publikováno v:
In Journal of Combinatorial Theory, Series A July 2022 189
Publikováno v:
Journal of Materials Chemistry C; 7/14/2023, Vol. 11 Issue 26, p8639-8648, 10p
Publikováno v:
CrystEngComm; 4/28/2023, Vol. 25 Issue 16, p2343-2348, 6p
Publikováno v:
CrystEngComm; 12/21/2021, Vol. 23 Issue 47, p8231-8238, 8p