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- W2992606157 abstract "Let (N, G), where N is a normal subgroup of G<SL_n(C), be a pair of finite groups and V a finite-dimensional fundamental G-module. We study the G-invariants in the symmetric algebra S(V) by giving explicit formulas of the Poincare series for the induced modules and restriction modules. In particular, this provides a uniform formula of the Poincare series for the symmetric invariants in terms of the McKay-Slodowy correspondence. Moreover, we also derive a global version of the Poincare series in terms of Tchebychev polynomials in the sense that one needs only the dimensions of the subgroups and their group-types to completely determine the Poincare series." @default.
- W2992606157 created "2019-12-13" @default.
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- W2992606157 date "2019-12-04" @default.
- W2992606157 modified "2023-09-27" @default.
- W2992606157 title "Poincar'{e} series of relative symmetric invariants for SL_n(C)." @default.
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