Highest weight modules for affine Lie superalgebras
Lucas Calixto, Vyacheslav Futorny
TL;DR
This paper investigates the structure of highest weight modules for affine Lie superalgebras, focusing on Borel and parabolic subalgebras, and determines conditions for their simplicity.
Contribution
It provides a comprehensive description of Borel and parabolic subalgebras and characterizes when Verma type modules are simple in affine Lie superalgebras.
Findings
Characterization of Borel and parabolic subalgebras
Necessary and sufficient conditions for module simplicity
Classification of simple Verma type modules
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.