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

Jonathan Brown, Simon M. Goodwin

Research output: Contribution to journalArticlepeer-review


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 languageEnglish
Pages (from-to)31-71
Number of pages41
JournalPacific Journal of Mathematics
Issue number1
Publication statusPublished - 2014


  • Representation theory
  • W-algebras

ASJC Scopus subject areas

  • Mathematics(all)


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