Abstract
We present a classification of all spherical indecomposable representations of classical and exceptional Lie superalgebras. We also include information about stabilizers, symmetric algebras, and Borels for which sphericity is achieved. In one such computation, the symmetric algebra of the standard module of osp(m|2n) is computed, which in particular gives the representation-theoretic structure of polynomials on the complex supersphere.
Original language | English |
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Pages (from-to) | 262-311 |
Number of pages | 50 |
Journal | Journal of Algebra |
Volume | 547 |
DOIs | |
State | Published - 1 Apr 2020 |
Externally published | Yes |
Keywords
- Lie superalgebras
- Lie theory
- Spherical varieties
ASJC Scopus subject areas
- Algebra and Number Theory