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Proceedings of the American Mathematical Society
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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DOI: http://dx.doi.org/10.1090/S0002-9939-1994-1195479-1
PII: S 0002-9939(1994)1195479-1
Article copyright: © Copyright 1994 American Mathematical Society