Lie group representations on polynomial rings

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Lie Group Representations on Polynomial Rings

0. Introduction. 1. Let G be a group of linear transformations on a finite dimensional real or complex vector space X. Assume X is completely reducible as a G-module. Let 5 be the ring of all complexvalued polynomials on X, regarded as a G-module in the obvious way, and let J C 5 be the subring of all G-invariant polynomials on X. Now let J be the set of all ƒ £ J having zero constant term and ...

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ژورنال

عنوان ژورنال: Bulletin of the American Mathematical Society

سال: 1963

ISSN: 0002-9904

DOI: 10.1090/s0002-9904-1963-10980-5