Theta-lifting and geometric quantization for GL(n, ℂ)

Abstract

In this paper, we verify Vogan’s conjecture on quantization in the representation theory for G = GL(n,ℂ). Also we get some relationship between the induction of orbits and Howe’s θ-lifting of unitary representations.

Keywords

Vogan’s conjecture on quantization / induced orbits / unitary representations / theta-lifting

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