Relative Invariants of Finite Groups Generated by Pseudoreflections
نویسنده
چکیده
Let V be an m-dimensional vector space over the complex numbers C. Fix a basis X, ,..., x, for V, and identify the polynomial ring R = C[x, ,..., x,] with the symmetric algebra of V in the obvious way. If A E GL( V) (the group of invertible linear transformations V + V), then A extends to a @-automorphism of R by (Aj)(x, ,..., xnz) =f(Ax, ,..., Ax,), where f E R. Suppose G is any subgroup of GL(V). D enote by RG the ring of invariants of G acting on R, i.e.,
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تاریخ انتشار 2003