Spherical indecomposable representations of Lie superalgebras

Alexander Sherman

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

We present a classification of all spherical indecomposable representations of classical and exceptional Lie superalgebras. We also include information about stabilizers, symmetric algebras, and Borels for which sphericity is achieved. In one such computation, the symmetric algebra of the standard module of osp(m|2n) is computed, which in particular gives the representation-theoretic structure of polynomials on the complex supersphere.

Original languageEnglish
Pages (from-to)262-311
Number of pages50
JournalJournal of Algebra
Volume547
DOIs
StatePublished - 1 Apr 2020
Externally publishedYes

Keywords

  • Lie superalgebras
  • Lie theory
  • Spherical varieties

ASJC Scopus subject areas

  • Algebra and Number Theory

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