2026-09-23T06:55:19Zhttps://dspace.mit.edu/server/oai/requestoai:dspace.mit.edu:1721.1/86422022-01-13T07:54:35Zcom_1721.1_7582com_1721.1_7581col_1721.1_131022
David A. Vogan, Jr.
Achar, Pramod Narahari, 1976-
Massachusetts Institute of Technology. Dept. of Mathematics.
Massachusetts Institute of Technology. Department of Mathematics
2005-08-23T21:57:40Z
2005-08-23T21:57:40Z
2001
2001
http://hdl.handle.net/1721.1/8642
49612714
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2001.
Includes bibliographical references (p. 71).
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).
by Pramod Narahari Achar.
Ph.D.
71 p.
5314997 bytes
5314754 bytes
application/pdf
application/pdf
eng
Massachusetts Institute of Technology
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
Mathematics.
Equivariant coherent sheaves on the nilpotent cone for complex reductive Lie groups
Thesis
application/pdf
Publication
unknown
unknown
<Publication xmlns="https://www.openaire.eu/cerif-profile/1.1/" id="931573e6-5196-43e7-925f-73bcfb3652df">
<Type xmlns="https://www.openaire.eu/cerif-profile/vocab/COAR_Publication_Types">http://purl.org/coar/resource_type/c_1843</Type>
<Language>eng</Language>
<Title>Equivariant coherent sheaves on the nilpotent cone for complex reductive Lie groups</Title>
<PublishedIn>
<Publication>
</Publication>
</PublishedIn>
<PublicationDate>2001</PublicationDate>
<Authors>
<Author>
<DisplayName>Achar, Pramod Narahari, 1976-</DisplayName>
<Affiliation>
<OrgUnit>
</OrgUnit>
</Affiliation>
</Author>
</Authors>
<Editors>
</Editors>
<Publishers>
<Publisher>
<DisplayName>Massachusetts Institute of Technology</DisplayName>
<OrgUnit />
</Publisher>
</Publishers>
<License>http://dspace.mit.edu/handle/1721.1/7582</License>
<Keyword>Mathematics.</Keyword>
<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).</Abstract>
<Access xmlns="http://purl.org/coar/access_right"
>
</Access>
</Publication>