On the Grothendieck ring of a quasireductive Lie superalgebra
Given a Lie superalgebra g and a maximal quasitoral subalgebra h, we consider properties of restrictions of g-modules to h.This is a natural generalization of the study of characters in the case when h is an even maximal torus.We study the case of g = q n with h a Cartan subalgebra, and prove several special properties of the restriction in this case, including an explicit realization of the h-supercharacter ring.
Authors
- Vera Serganova
- Maria Gorelik (ORCID: https://orcid.org/0000-0002-1411-4020)
- Alexander Sherman (ORCID: https://orcid.org/0000-0003-2050-4903)
Institutions
- The University of Sydney (AU)
- Cooperative Trials Group for Neuro-Oncology (AU)
- Weizmann Institute of Science (IL)
- University of California, Berkeley (US)
Publication Details
- Journal
- Algebra & Number Theory
- Published
- 2025-10-20
- DOI
- https://doi.org/10.2140/ant.2025.19.2369
- Primary Topic
- Advanced Topics in Algebra
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Science Foundation
- Minerva Foundation
- Israel Science Foundation