Super invariant theory in positive characteristic

2022/11/22 by Coulembier, Kevin, Etingof, Pavel, Kleshchev, Alexander +1 · 3 citations
#FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2211.11933

Abstract

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.

Cited by

• Generalized diagram categories and monoids, and their representations
• Polynomial functors in Ver₄⁺
• A special class of prime ideals for infinite symmetric group algebras

Related

• On Fundamental Theorems of Invariant Theory for the Special Linear Supergroup
• Graded Picture Invariants and polynomial invariants for mixed tensor superspaces
• An analog of the classical invariant theory for Lie superlagebras. II
• An analog of the classical invariant theory for Lie superlagebras
• Generators of supersymmetric polynomials in positive characteristic