Highest weight modules for affine Lie superalgebras

Lucas Calixto; Vyacheslav Futorny

doi:10.4171/rmi/1203

JournalsrmiVol. 37, No. 1pp. 129–160

Highest weight modules for affine Lie superalgebras

Lucas Calixto
Universidade Federal de Minas Gerais, Belo Horizonte, Brazil
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Vyacheslav Futorny
Universidade de São Paulo, Brazil
- MathSciNet
- zbMATH Open

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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