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arXiv · 1301.2192

An integration formula for unipotent radicals

Arnab Mitra·Steven Spallone
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Abstract

Let P be a maximal parabolic of a classical group over a field F. Then the Levi subgroup M is isomorphic to the product of a classical group and a general linear group, acting on vector spaces X and W, respectively. In this paper we decompose the unipotent radical N of P under the adjoint action of M, assuming dim W is less than or equal to dim X and that dim W is even. When F is a local field, we obtain a Weyl-type integration formula for N.

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Arnab Mitra, Steven Spallone. 2013-01-10. An integration formula for unipotent radicals. https://arxiv.org/abs/1301.2192

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