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- W2996910179 abstract "Description of adjoint invariants of general linear Lie superalgebras $mathfrak {gl}(m|n)$ by Kantor and Trishin was given in terms of supersymmetric polynomials. Later, generators of invariants of the adjoint action of the general linear supergroup GL(m|n) and generators of supersymmetric polynomials were determined over fields of positive characteristic. In this paper, we introduce the concept of supersymmetric elements in the divided powers algebra Div[x1,…, xm, y1,…, yn], and give a characterization of supersymmetric elements via a system of linear equations. Then we determine generators of supersymmetric elements for divided powers algebras in the cases when n = 0, n = 1, and m ≤ 2, n = 2." @default.
- W2996910179 created "2020-01-10" @default.
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- W2996910179 date "2020-01-06" @default.
- W2996910179 modified "2023-10-10" @default.
- W2996910179 title "Supersymmetric Elements in Divided Powers Algebras" @default.
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- W2996910179 doi "https://doi.org/10.1007/s10468-019-09933-0" @default.
- W2996910179 hasPublicationYear "2020" @default.
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