期刊论文详细信息
JOURNAL OF ALGEBRA | 卷:454 |
A Littlewood-Richardson rule for the Macdonald inner product and bimodules over wreath products | |
Article | |
关键词: Littlewood Richardson; Categorification; Wreath products; Symmetric functions; Macdonald inner product; Quantum algebra; Combinatorics; | |
DOI : 10.1016/j.jalgebra.2015.05.022 | |
来源: Elsevier | |
【 摘 要 】
We prove a Littlewood-Richardson type formula for (s(lambda/mu, s nu/kappa)tk,t), the pairing of two skew Schur functions in the Macdonald inner product at q = t(k) for positive integers k. This pairing counts graded decomposition numbers in the representation theory of wreath products of the algebra C[x]/x(k) and symmetric groups. (C) 2015 Published by Elsevier Inc.
【 授权许可】
Free
【 预 览 】
Files | Size | Format | View |
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10_1016_j_jalgebra_2015_05_022.pdf | 371KB | download |