Howe/Kirillov theory for 𝑝-adic symmetric spaces

Hakim, Jeffrey

doi:10.1090/S0002-9939-1994-1195479-1

Howe/Kirillov theory for $p$-adic symmetric spaces
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by Jeffrey Hakim

Proc. Amer. Math. Soc. 121 (1994), 1299-1305

DOI: https://doi.org/10.1090/S0002-9939-1994-1195479-1

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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 $G/{G_ + }$.

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