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Highest weight modules for affine Lie superalgebras

Representation Theory 2018-12-18 v2

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.

Keywords

Cite

@article{arxiv.1804.02563,
  title  = {Highest weight modules for affine Lie superalgebras},
  author = {Lucas Calixto and Vyacheslav Futorny},
  journal= {arXiv preprint arXiv:1804.02563},
  year   = {2018}
}

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R2 v1 2026-06-23T01:16:56.446Z