## 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 A_{s} of what they called pseudosymmetric polynomials over an algebraically closed field K of characteristic zero. The algebra A_{s} was investigated earlier by Stembridge (1985) who in [9] called the elements of A_{s} supersymmetric polynomials and determined generators of A_{s}.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 A_{s}.

Original language | English |
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Pages (from-to) | 38-49 |

Number of pages | 12 |

Journal | Journal of Algebra |

Volume | 349 |

Issue number | 1 |

DOIs | |

Publication status | Published - Jan 1 2012 |

Externally published | Yes |

## Keywords

- General linear supergroup
- Invariants
- Pseudosymmetric polynomials
- Schur superalgebra
- Supersymmetric polynomials

## ASJC Scopus subject areas

- Algebra and Number Theory