On the equivariant *K*-theory of the nilpotent cone in the general linear group

Author:
Pramod N. Achar

Journal:
Represent. Theory **8** (2004), 180-211

MSC (2000):
Primary 22E46; Secondary 19A49

DOI:
https://doi.org/10.1090/S1088-4165-04-00243-2

Published electronically:
May 24, 2004

Corrigendum:
Represent. Theory 20 (2016), 414-418

MathSciNet review:
2058726

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Abstract | References | Similar Articles | Additional Information

Abstract: Let be a simple complex algebraic group. Lusztig and Vogan have conjectured the existence of a natural bijection between the set of dominant integral weights of , and the set of pairs consisting of a nilpotent orbit and a finite-dimensional irreducible representation of the isotropy group of the orbit. This conjecture has been proved by Bezrukavnikov. In this paper, we develop combinatorial algorithms for computing the bijection and its inverse in the case of .

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Additional Information

**Pramod N. Achar**

Affiliation:
Department of Mathematics, University of Chicago, Chicago, Illinois 60637

Email:
pramod@math.uchicago.edu

DOI:
https://doi.org/10.1090/S1088-4165-04-00243-2

Received by editor(s):
June 2, 2003

Received by editor(s) in revised form:
January 19, 2004

Published electronically:
May 24, 2004

Additional Notes:
The author was partially supported by an NSF Graduate Research Fellowship, and later by an NSF Postdoctoral Research Fellowship.

Article copyright:
© Copyright 2004
American Mathematical Society