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

Research output: Contribution to journal › Article › peer-review

14 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	19-46
Number of pages	28
Journal	Journal of Combinatorial Algebra
Volume	2
Issue number	1
DOIs	https://doi.org/10.4171/JCA/2-1-2
Publication status	Published - 2018
Externally published	Yes

Keywords

(skew) Young diagrams
Decomposition multiplicities
Periplectic Brauer algebra
Periplectic Lie superalgebra
Standardly based algebras

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10.4171/JCA/2-1-2

Cite this

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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",

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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

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SP - 19

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JO - Journal of Combinatorial Algebra

JF - Journal of Combinatorial Algebra

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ER -

The periplectic Brauer algebra II: Decomposition multiplicities

Abstract

Keywords

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