Representation theory of type B and C standard Levi W-algebras

Jonathan Brown; Simon M. Goodwin

doi:10.2140/pjm.2014.269.31

Representation theory of type B and C standard Levi W-algebras

Jonathan Brown
, Simon M. Goodwin

Mathematics

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

Abstract

We classify the finite-dimensional irreducible representations with integral central character of finite W-algebras U(g, e) associated to standard Levi nilpotent orbits in classical Lie algebras of types B and C. This classification is given explicitly in terms of the highest weight theory for finite W-algebras.

Original language	English
Pages (from-to)	31-71
Number of pages	41
Journal	Pacific Journal of Mathematics
Volume	269
Issue number	1
DOIs	https://doi.org/10.2140/pjm.2014.269.31
Publication status	Published - 15 Jul 2014

Keywords

Representation theory
W-algebras

ASJC Scopus subject areas

General Mathematics

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10.2140/pjm.2014.269.31

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

Cite this

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title = "Representation theory of type B and C standard Levi W-algebras",

abstract = "We classify the finite-dimensional irreducible representations with integral central character of finite W-algebras U(g, e) associated to standard Levi nilpotent orbits in classical Lie algebras of types B and C. This classification is given explicitly in terms of the highest weight theory for finite W-algebras.",

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DO - 10.2140/pjm.2014.269.31

M3 - Article

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Representation theory of type B and C standard Levi W-algebras

Abstract

Keywords

ASJC Scopus subject areas

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Representation Theory of Finite W-algebras

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