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Equivariant coherent sheaves on the nilpotent cone for complex reductive Lie groups

Author(s)
Achar, Pramod Narahari, 1976-
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Massachusetts Institute of Technology. Dept. of Mathematics.
Advisor
David A. Vogan, Jr.
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M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission. http://dspace.mit.edu/handle/1721.1/7582
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Abstract
Let G be a connected complex reductive Lie group. We propose a certain bijection between the set of dominant integral weights of G, and the set of pairs consisting of a nilpotent coadjoint orbit and a finite-dimensional irreducible representation of the isotropy group of the orbit. A constructive proof of this bijection is given for the groups GL(n, C), and the bijection is established by direct calculation in a handful of particular groups. Partial progress is made on a general proof for Sp(2n, C).
Description
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2001.
 
Includes bibliographical references (p. 71).
 
Date issued
2001
URI
http://hdl.handle.net/1721.1/8642
Department
Massachusetts Institute of Technology. Department of Mathematics
Publisher
Massachusetts Institute of Technology
Keywords
Mathematics.

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