Kac-Wakimoto conjecture for the periplectic Lie superalgebra

Inna Entova-Aizenbud, Vera Serganova

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

We prove an analogue of the Kac-Wakimoto conjecture for the periplectic Lie superalgebra (n), stating that any simple module lying in a block of non-maximal atypicality has superdimension zero.

Original languageEnglish
Article number2140015
JournalJournal of Algebra and its Applications
Volume20
Issue number1
DOIs
StatePublished - 1 Jan 2021

Keywords

  • Kac-Wakimoto conjecture
  • Periplectic superalgebra
  • translation functor

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