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 language | English (US) |
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Pages (from-to) | 38-49 |
Number of pages | 12 |
Journal | Journal of Algebra |
Volume | 349 |
Issue number | 1 |
DOIs | |
State | Published - Jan 1 2012 |
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory