Howe/Kirillov theory for $p$-adic symmetric spaces

Abstract:

The method of coadjoint orbits is adapted to sufficiently small compact subgroups of a pair $(G,{G_ + })$, where G is a p-adic group and ${G_ + }$ is the subgroup of fixed points of an involution. The techniques developed here have been used to prove local integrability of certain distributions which are fundamental in the harmonic analysis of $G/{G_ + }$.