Vogan Duality for ~Spin(p,q)

Details Vogan Duality for ~Spin(p,q) Vogan Duality for ~Spin(p,q)

2009-08-13

arxiv.org/abs/0908.1976v1

Mathematics

Representation Theory

75 Pages

Scientific paper

The main purpose of this paper is to describe a symmetry in the set genuine
parameters for even rank nonlinear Spin groups in type B at certain
half-integral infinitesimal characters. This symmetry is used to establish a
duality of the corresponding generalized Hecke modules and ultimately results
in a character multiplicity duality of the induced genuine characters.

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