arXiv Analytics

Sign in

arXiv:1804.02563 [math.RT]AbstractReferencesReviewsResources

Highest weight modules for affine Lie superalgebras

Lucas Calixto, Vyacheslav Futorny

Published 2018-04-07, updated 2018-12-16Version 2

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.

Related articles: Most relevant | Search more
arXiv:2106.14929 [math.RT] (Published 2021-06-28)
Weak faces of highest weight modules and root systems
arXiv:2202.04401 [math.RT] (Published 2022-02-09)
Representations of affine Lie superalgebras and their quantization in type A
arXiv:1206.6609 [math.RT] (Published 2012-06-28, updated 2015-01-24)
Integrable modules for Lie Torus