Principal W-algebras for GL(m|n)

Jonathan Brown, Jonathan Brundan, Simon M. Goodwin

Research output: Contribution to journalArticlepeer-review

19 Citations (Scopus)


We consider the (finite) W-algebra Wm|n attached to the principal nilpotent orbit in the general linear Lie superalgebra glm|n(ℂ). Our main result gives an explicit description of Wm|n as a certain truncation of a shifted version of the Yangian Y (gl1|1). We also show that Wm|n admits a triangular decomposition and construct its irreducible representations.

Original languageEnglish
Pages (from-to)1849-1882
Number of pages34
JournalAlgebra and Number Theory
Issue number8
Publication statusPublished - 2013


  • Lie superalgebras
  • W-algebras

ASJC Scopus subject areas

  • Algebra and Number Theory


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