Hall 123

An Integration Formula for Unipotent Radicals

Steven Spallone

TIFR, Mumbai

The Weyl Integration Formula decomposes a reductive group $G$ into its orbits under the adjoint action of $G$. In this same spirit, it is useful to decompose a unipotent radical $N$ of a parabolic $P=MN$ into its orbits under the adjoint action of $M$. We discuss an integration formula accomplishing this for certain parabolics in classical groups.