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Lie Group Representations On Polynomial Rings

In: Collected Papers

Author

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  • Bertram Kostant

    (Massachusetts Institute of Technology, Department of Mathematics)

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 subring of all G-invariant polynomials on X.

Suggested Citation

  • Bertram Kostant, 2009. "Lie Group Representations On Polynomial Rings," Springer Books, in: Anthony Joseph & Shrawan Kumar & Michèle Vergne (ed.), Collected Papers, pages 309-317, Springer.
    • Handle: RePEc:spr:sprchp:978-0-387-09583-7_16
    DOI: 10.1007/b94535_16
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