Weyl denominator identity for finite-dimensional Lie superalgebras
Maria Gorelik
TL;DR
This paper proves the Weyl denominator identity for finite-dimensional Lie superalgebras, confirming a conjecture posed by Kac and Wakimoto in 1994, and advancing the understanding of their structure.
Contribution
The paper provides a proof of the long-standing conjecture on the Weyl denominator identity for finite-dimensional Lie superalgebras, a key step in their representation theory.
Findings
Confirmed the Weyl denominator identity for finite-dimensional Lie superalgebras
Validated the conjecture by Kac and Wakimoto from 1994
Enhanced the theoretical framework of Lie superalgebra representations
Abstract
Weyl denominator identity for finite-dimensional Lie superalgebras, conjectured by V.~Kac and M.~Wakimoto in 1994, is proven.
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.
Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Finite Group Theory Research