Equivariant coherent sheaves on the nilpotent cone for complex reductive Lie groups
Author(s)Achar, Pramod Narahari, 1976-
Massachusetts Institute of Technology. Dept. of Mathematics.
David A. Vogan, Jr.
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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).
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2001.Includes bibliographical references (p. 71).
DepartmentMassachusetts Institute of Technology. Dept. of Mathematics.
Massachusetts Institute of Technology