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- W4300956338 abstract "The symmetric group S_n acts on the skew polynomial ring A=k_{-1}[x_1,..., x_n] as permutations. For subgroups G of S_n we consider properties of the ring of invariants A^G. We show that A^G is always Artin-Schelter Gorenstein, and we investigate when A^G is a complete intersection, in a sense we define. We obtain bounds on the degrees of the algebra generators. The properties of A^G are compared with those in the classical case, k[x_1, ..., x_n]^G." @default.
- W4300956338 created "2022-10-04" @default.
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- W4300956338 date "2013-05-16" @default.
- W4300956338 modified "2023-09-29" @default.
- W4300956338 title "Invariants of (-1)-Skew Polynomial Rings under Permutation Representations" @default.
- W4300956338 doi "https://doi.org/10.48550/arxiv.1305.3973" @default.
- W4300956338 hasPublicationYear "2013" @default.
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