Classification of finite-growth general Kac-Moody superalgebras
Crystal Hoyt, Vera Serganova
TL;DR
This paper classifies contragredient Lie superalgebras with finite growth, extending previous classifications from the symmetrizable case to all cases, based on polynomially bounded graded component dimensions.
Contribution
It provides a complete classification of finite-growth contragredient Lie superalgebras beyond the symmetrizable case, filling a significant gap in the theory.
Findings
Complete classification of finite-growth contragredient Lie superalgebras.
Extension of known results from symmetrizable to all cases.
Identification of conditions for polynomial growth in graded components.
Abstract
A contragredient Lie superalgebra is a superalgebra defined by a Cartan matrix. A contragredient Lie superalgebra has finite-growth if the dimensions of the graded components (in the natural grading) depend polynomially on the degree. In this paper we classify finite-growth contragredient Lie superalgebras. Previously, such a classification was known only for the symmetrizable case.
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
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Nonlinear Waves and Solitons