Rings of regular functions on nilpotent orbits and their covers |
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| Authors: | William M. McGovern |
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| Affiliation: | (1) Mathematical Sciences Research Institute, 94720 Berkeley, CA, USA |
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| Abstract: | Summary LetG be a complex semisimple algebraic group with Lie algebra . Let be a nilpotentG-orbit, its ring of regular functions. We derive a formula for as aG-module and prove some partial results on a cover of . We then relate this formula to various existing multiplicity formulas forK-types in Harish-Chandra bimodules ofG.Supported by National Science Foundation Grant DMS-8505550 |
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