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Rings of regular functions on spherical nilpotent orbits for complex classical groups

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Rings of regular functions on spherical nilpotent orbits for complex classical groups

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Author: Suk, Tonghoon
Other Contributors: Massachusetts Institute of Technology. Dept. of Mathematics.
Advisor: David Alexander Vogan.
Department: Massachusetts Institute of Technology. Dept. of Mathematics.
Publisher: Massachusetts Institute of Technology
Date Issued: 2009
Abstract:
Let G be a classical group and let g be its Lie algebra. For a nilpotent element X E g, the ring R(Ox) of regular functions on the nilpotent orbit Ox is a G-module. In this thesis, we will decompose it into irreducible representations of G for some spherical nilpotent orbits.
Description:
Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2009.Cataloged from PDF version of thesis.Includes bibliographical references (p. 16).
URI: http://hdl.handle.net/1721.1/54664
Keywords: Mathematics.

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