The Bailey lemma and Kostka polynomials

被引：9

作者：

Warnaar, SO ^{[1
]}

机构：

[1] Univ Melbourne, Dept Math & Stat, Parkville, Vic 3010, Australia

来源：

JOURNAL OF ALGEBRAIC COMBINATORICS | 2004年 / 20卷 / 02期

关键词：

Kostka polynomials; Bailey's lemma; branching functions; q-series;

D O I：

10.1023/B:JACO.0000047280.16877.1f

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using the theory of Kostka polynomials, we prove an A(n-1) version of Bailey's lemma at integral level. Exploiting a new, conjectural expansion for Kostka numbers, this is then generalized to fractional levels, leading to a new expression for admissible characters of A(n-1)((1)) and to identities for A-type branching functions.

引用

页码：131 / 171

页数：41

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