Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



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

Author: Jeffrey Hakim
Journal: Proc. Amer. Math. Soc. 121 (1994), 1299-1305
MSC: Primary 22E50; Secondary 22E35
MathSciNet review: 1195479
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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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Article copyright: © Copyright 1994 American Mathematical Society