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arXiv · 2007.15768

Decomposition of the Uniform Projection of the Weil Character

Shu-Yen Pan
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Abstract

In this paper we obtain a decomposition formula of the uniform projection of the Weil character of a finite reductive dual pair consisting of a symplectic group and an even orthogonal group. This is the first and major step to give an explicit description of the Howe correspondence on unipotent characters confirming a conjecture by Aubert-Michel-Rouquier.

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Shu-Yen Pan. 2020-07-30. Decomposition of the Uniform Projection of the Weil Character. https://arxiv.org/abs/2007.15768

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