JournalsrmiVol. 37, No. 1pp. 129–160

Highest weight modules for affine Lie superalgebras

  • Lucas Calixto

    Universidade Federal de Minas Gerais, Belo Horizonte, Brazil
  • Vyacheslav Futorny

    Universidade de São Paulo, Brazil
Highest weight modules for affine Lie superalgebras cover

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Abstract

We describe Borel and parabolic subalgebras of affine Lie superalgebras and study the Verma type modules associated to such subalgebras. We give necessary and sufficient conditions under which these modules are simple.

Cite this article

Lucas Calixto, Vyacheslav Futorny, Highest weight modules for affine Lie superalgebras. Rev. Mat. Iberoam. 37 (2021), no. 1, pp. 129–160

DOI 10.4171/RMI/1203