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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. 129–160DOI 10.4171/RMI/1203