The periplectic Brauer algebra II: Decomposition multiplicities

Kevin Coulembier; Michael Ehrig

doi:10.4171/JCA/2-1-2

The periplectic Brauer algebra II: Decomposition multiplicities

Kevin Coulembier
, Michael Ehrig

The University of Sydney

科研成果: 期刊稿件 › 文章 › 同行评审

14 引用（Scopus）

摘要

We determine the Jordan–Hölder 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.

源语言	英语
页（从-至）	19-46
页数	28
期刊	Journal of Combinatorial Algebra
卷	2
期	1
DOI	https://doi.org/10.4171/JCA/2-1-2
出版状态	已出版 - 2018
已对外发布	是

访问文件

10.4171/JCA/2-1-2

其它文件与链接

链接到 Scopus 的出版物

引用此

@article{24ab78c7058045949bd8f9184e69e569,

title = "The periplectic Brauer algebra II: Decomposition multiplicities",

abstract = "We determine the Jordan{\textendash}H{\"o}lder 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{\textendash}Lusztig multiplicities of the periplectic Lie supergroup.",

keywords = "(skew) Young diagrams, Decomposition multiplicities, Periplectic Brauer algebra, Periplectic Lie superalgebra, Standardly based algebras",

author = "Kevin Coulembier and Michael Ehrig",

note = "Publisher Copyright: {\textcopyright} European Mathematical Society.",

year = "2018",

doi = "10.4171/JCA/2-1-2",

language = "English",

volume = "2",

pages = "19--46",

journal = "Journal of Combinatorial Algebra",

issn = "2415-6302",

publisher = "European Mathematical Society Publishing House",

number = "1",

}

TY - JOUR

T1 - The periplectic Brauer algebra II

T2 - Decomposition multiplicities

AU - Coulembier, Kevin

AU - Ehrig, Michael

N1 - Publisher Copyright: © European Mathematical Society.

PY - 2018

Y1 - 2018

N2 - We determine the Jordan–Hölder 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.

AB - We determine the Jordan–Hölder 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.

KW - (skew) Young diagrams

KW - Decomposition multiplicities

KW - Periplectic Brauer algebra

KW - Periplectic Lie superalgebra

KW - Standardly based algebras

UR - https://www.scopus.com/pages/publications/85052688420

U2 - 10.4171/JCA/2-1-2

DO - 10.4171/JCA/2-1-2

M3 - Article

AN - SCOPUS:85052688420

SN - 2415-6302

VL - 2

SP - 19

EP - 46

JO - Journal of Combinatorial Algebra

JF - Journal of Combinatorial Algebra

IS - 1

ER -

The periplectic Brauer algebra II: Decomposition multiplicities

摘要

访问文件

其它文件与链接

学术指纹

引用此