An integration formula for unipotent radicals
Representation Theory
2013-01-11 v1
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.
Cite
@article{arxiv.1301.2192,
title = {An integration formula for unipotent radicals},
author = {Arnab Mitra and Steven Spallone},
journal= {arXiv preprint arXiv:1301.2192},
year = {2013}
}