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

##### Author(s)

Achar, Pramod Narahari, 1976-
DownloadFull printable version (5.068Mb)

##### Other Contributors

Massachusetts Institute of Technology. Dept. of Mathematics.

##### Advisor

David A. Vogan, Jr.

##### Terms of use

##### Metadata

Show full item record##### 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##### Department

Massachusetts Institute of Technology. Dept. of Mathematics.##### Publisher

Massachusetts Institute of Technology

##### Keywords

Mathematics.