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

Author(s)
Suk, Tonghoon
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Massachusetts Institute of Technology. Dept. of Mathematics.
Advisor
David Alexander Vogan.
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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).
 
Date issued
2009
URI
http://hdl.handle.net/1721.1/54664
Department
Massachusetts Institute of Technology. Department of Mathematics
Publisher
Massachusetts Institute of Technology
Keywords
Mathematics.
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