Non-integral representation theory of even multiplicity finite W-algebras

Jonathan Brown; Simon M. Goodwin

doi:10.1016/j.jalgebra.2013.01.008

Non-integral representation theory of even multiplicity finite W-algebras

Jonathan Brown^*, Simon M. Goodwin

^*Corresponding author for this work

Mathematics

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

2 Citations (Scopus)

Abstract

We complete the classification of the finite dimensional irreducible representations of finite W-algebras associated to even multiplicity nilpotent elements in classical Lie algebras. This extends earlier work in Brown and Goodwin (2013) [BG1], where this classification is determined for such representations of integral central character.

Original language	English
Pages (from-to)	30-45
Number of pages	16
Journal	Journal of Algebra
Volume	380
DOIs	https://doi.org/10.1016/j.jalgebra.2013.01.008
Publication status	Published - 5 Apr 2013

Keywords

Algebraic Lie theory
Finite W-algebras
Representation theory

ASJC Scopus subject areas

Algebra and Number Theory

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10.1016/j.jalgebra.2013.01.008

Representation Theory of Finite W-algebras
Goodwin, S.
Engineering & Physical Science Research Council
17/08/09 → 16/08/12
Project: Research Councils

Cite this

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title = "Non-integral representation theory of even multiplicity finite W-algebras",

abstract = "We complete the classification of the finite dimensional irreducible representations of finite W-algebras associated to even multiplicity nilpotent elements in classical Lie algebras. This extends earlier work in Brown and Goodwin (2013) [BG1], where this classification is determined for such representations of integral central character.",

keywords = "Algebraic Lie theory, Finite W-algebras, Representation theory",

author = "Jonathan Brown and Goodwin, {Simon M.}",

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T1 - Non-integral representation theory of even multiplicity finite W-algebras

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AU - Goodwin, Simon M.

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AB - We complete the classification of the finite dimensional irreducible representations of finite W-algebras associated to even multiplicity nilpotent elements in classical Lie algebras. This extends earlier work in Brown and Goodwin (2013) [BG1], where this classification is determined for such representations of integral central character.

KW - Algebraic Lie theory

KW - Finite W-algebras

KW - Representation theory

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U2 - 10.1016/j.jalgebra.2013.01.008

DO - 10.1016/j.jalgebra.2013.01.008

M3 - Article

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SN - 0021-8693

VL - 380

SP - 30

EP - 45

JO - Journal of Algebra

JF - Journal of Algebra

ER -

Non-integral representation theory of even multiplicity finite W-algebras

Abstract

Keywords

ASJC Scopus subject areas

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Representation Theory of Finite W-algebras

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