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

Jonathan Brown*, Simon M. Goodwin

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


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 languageEnglish
Pages (from-to)30-45
Number of pages16
JournalJournal of Algebra
Publication statusPublished - 5 Apr 2013


  • Algebraic Lie theory
  • Finite W-algebras
  • Representation theory

ASJC Scopus subject areas

  • Algebra and Number Theory


Dive into the research topics of 'Non-integral representation theory of even multiplicity finite W-algebras'. Together they form a unique fingerprint.

Cite this