Abstract
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 S be the ring of all complex-valued polynomials on X, regarded as a G-module in the obvious way, and let J ? S be the sub-ring of all G-invariant polynomials on X.
Received February 11, 1963.
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Kostant, B. (2009). Lie Group Representations on Polynomial Rings. In: Joseph, A., Kumar, S., Vergne, M. (eds) Collected Papers. Springer, New York, NY. https://doi.org/10.1007/b94535_17
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DOI: https://doi.org/10.1007/b94535_17
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