Frontiers of Mathematics in China >
Theta-lifting and geometric quantization for GL(n, )
Received date: 25 Apr 2011
Accepted date: 05 Sep 2011
Published date: 01 Aug 2012
Copyright
In this paper, we verify Vogan’s conjecture on quantization in the representation theory for G = GL(n, ). Also we get some relationship between the induction of orbits and Howe’s θ-lifting of unitary representations.
Mingjing ZHANG . Theta-lifting and geometric quantization for GL(n, )[J]. Frontiers of Mathematics in China, 2012 , 7(4) : 785 -793 . DOI: 10.1007/s11464-012-0177-6
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