2026-09-20T04:24:35Zhttps://dspace.mit.edu/server/oai/requestoai:dspace.mit.edu:1721.1/546642022-01-13T07:54:35Zcom_1721.1_7582com_1721.1_7581col_1721.1_131023
David Alexander Vogan.
Suk, Tonghoon
Massachusetts Institute of Technology. Dept. of Mathematics.
Massachusetts Institute of Technology. Department of Mathematics
2010-04-28T17:16:57Z
2010-04-28T17:16:57Z
2009
2009
http://hdl.handle.net/1721.1/54664
606925136
Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2009.
Cataloged from PDF version of thesis.
Includes bibliographical references (p. 16).
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.
by Tonghoon Suk.
S.M.
16 p.
eng
Massachusetts Institute of Technology
M.I.T. theses are protected by
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http://dspace.mit.edu/handle/1721.1/7582
Mathematics.
Rings of regular functions on spherical nilpotent orbits for complex classical groups
Thesis
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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.</Abstract>
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