The periplectic Brauer algebra II: Decomposition multiplicities

被引：14

作者：

Coulembier, Kevin ^{[1
]}

Ehrig, Michael ^{[1
]}

机构：

[1] Univ Sydney, Sch Math & Stat, Sydney, NSW 2006, Australia

来源：

JOURNAL OF COMBINATORIAL ALGEBRA | 2018年 / 2卷 / 01期

基金：

澳大利亚研究理事会;

关键词：

Periplectic Lie superalgebra; periplectic Brauer algebra; decomposition multiplicities; (skew) Young diagrams; standardly based algebras;

D O I：

10.4171/JCA/2-1-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We determine the Jordan-Holder decomposition multiplicities of projective and cell modules over periplectic Brauer algebras in characteristic zero. These are obtained by developing the combinatorics of certain skew Young diagrams. We also establish a useful relationship with the Kazhdan-Lusztig multiplicities of the periplectic Lie supergroup.

引用

页码：19 / 46

页数：28

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