The Howe duality conjecture: quaternionic case
Wee Teck Gan, Binyong Sun
TL;DR
This paper completes the proof of the Howe duality conjecture for quaternionic dual pairs in the local theta correspondence, covering all residual characteristics.
Contribution
It provides the final step in proving the Howe duality conjecture for quaternionic cases, extending previous results to all residual characteristics.
Findings
Proof of Howe duality conjecture for quaternionic dual pairs completed
Applicable to all residual characteristics
Advances understanding of local theta correspondence
Abstract
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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Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic structures and combinatorial models · Advanced Topics in Algebra