A proof of the Howe duality conjecture

Author:

Gan Wee Teck,Takeda Shuichiro

Abstract

We give a proof of the Howe duality conjecture in the theory of local theta correspondence for symplectic-orthogonal or unitary dual pairs in arbitrary residual characteristic.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference21 articles.

1. Formal degrees and local theta correspondence;Gan, Wee Teck;Invent. Math.,2014

2. Representations of metaplectic groups I: epsilon dichotomy and local Langlands correspondence;Gan, Wee Teck;Compos. Math.,2012

3. [GT] W. T. Gan and S. Takeda, On the Howe duality conjecture in classical theta correspondence, to appear in Contemporary Math., volume in honor of J. Cogdell (2014), arXiv:1405.2626.

4. 𝜃-series and invariant theory;Howe, R.,1979

5. Transcending classical invariant theory;Howe, Roger;J. Amer. Math. Soc.,1989

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