Representations of the general linear group over symmetry classes of polynomials
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Let V be the complex vector space of homogeneous linear polynomials in the variables x1,..., x m . Suppose G is a subgroup of S m , and χ is an irreducible character of G. Let H d (G, χ) be the symmetry class of polynomials of degree d with respect to G and χ.
Keywordssymmetry class of polynomials general linear group representation irreducible character induced operator
MSC 201020C15 15A69 05E05
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