Titlebook: Representation Theory, Number Theory, and Invariant Theory; In Honor of Roger Ho Jim Cogdell,Ju-Lee Kim,Chen-Bo Zhu Book 2017 Springer Inte

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Representation Theory, Number Theory, and Invariant Theory978-3-319-59728-7Series ISSN 0743-1643 Series E-ISSN 2296-505X

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Unipotent Representations and the Dual Pair Correspondence,This chapter describes properties of unipotent representations in relation to the .-correspondence and relations of the .-structure to rational function of coadjoint orbits in the Lie algebra. The main focus is on the complex case.

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The Howe Duality Conjecture: Quaternionic Case,We complete the proof of the Howe duality conjecture in the theory of local theta correspondence by treating the remaining case of quaternionic dual pairs in arbitrary residual characteristic.

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Construction of Tame Types,We construct tame types for connected reductive .-adic groups. We also discuss their exhaustion and equivalence.

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