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- W2959394047 abstract "We present a method for computing the Hilbert series of the algebra of invariants of the complex symplectic and orthogonal groups acting on graded noncommutative algebras with homogeneous components which are polynomial modules of the general linear group. We apply our method to compute the Hilbert series for different actions of the symplectic and orthogonal groups on the relatively free algebras of the varieties of associative algebras generated, respectively, by the Grassmann algebra and the algebra of $2times 2$ upper triangular matrices. These two varieties are remarkable with the property that they are the only minimal varieties of exponent 2." @default.
- W2959394047 created "2019-07-23" @default.
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- W2959394047 date "2019-02-11" @default.
- W2959394047 modified "2023-09-27" @default.
- W2959394047 title "Noncommutative invariant theory of symplectic and orthogonal groups" @default.
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