Generators of supersymmetric polynomials in positive characteristic

A. N. Grishkov, F. Marko, A. N. Zubkov

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3 Scopus citations

Abstract

In Kantor and Trishin (1997) [3], Kantor and Trishin described the algebra of polynomial invariants of the adjoint representation of the Lie superalgebra gl(m|n) and a related algebra As of what they called pseudosymmetric polynomials over an algebraically closed field K of characteristic zero. The algebra As was investigated earlier by Stembridge (1985) who in [9] called the elements of As supersymmetric polynomials and determined generators of As.The case of positive characteristic p of the ground field K has been recently investigated by La Scala and Zubkov (in press) in [6]. We extend their work and give a complete description of generators of polynomial invariants of the adjoint action of the general linear supergroup GL(m|n) and generators of As.

Original languageEnglish (US)
Pages (from-to)38-49
Number of pages12
JournalJournal of Algebra
Volume349
Issue number1
DOIs
StatePublished - Jan 1 2012

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

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