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Polynomial Invariant Theory and Taylor Series

Published online by Cambridge University Press:  20 November 2018

John E. Gilbert
John E. Gilbert*
Affiliation:
The University of Texas at Austin, Austin, Texas, U.S.A. 78712
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For any group K and finite-dimensional (right) K-module V let be the right regular representation of K on the algebra of polynomial functions on V. An Isotypic Component of is the sum of all k-submodules of on which π restricts to an irreducible representation can then be written as f = ΣƬ ƒƬ with ƒƬ in .

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 43 , Issue 6 , 01 December 1991 , pp. 1243 - 1262
Copyright
Copyright © Canadian Mathematical Society 1991

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