Super invariant theory in positive characteristic

We study invariant theory of the general linear supergroup in positive characteristic. In particular, we determine when the symmetric group algebra acts faithfully on tensor superspace and demonstrate that the symmetric group does not always generate all invariants.

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Bibliographic Details
Published in:European journal of mathematics 2023-12, Vol.9 (4), Article 94
Main Authors: Coulembier, Kevin, Etingof, Pavel, Kleshchev, Alexander, Ostrik, Victor
Format: Article
Language:English
Subjects:
Algebraic Geometry
Group theory
Invariants
Mathematics
Mathematics and Statistics
Research Article
Tensors
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Description
Summary:We study invariant theory of the general linear supergroup in positive characteristic. In particular, we determine when the symmetric group algebra acts faithfully on tensor superspace and demonstrate that the symmetric group does not always generate all invariants.
ISSN:2199-675X
2199-6768
DOI:10.1007/s40879-023-00688-z