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Proceedings of the American Mathematical Society

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



Vanishing of coefficients in overlapping germ expansions for $ p$-adic $ {\rm GL}(n)$

Authors: Fiona Murnaghan and Joe Repka
Journal: Proc. Amer. Math. Soc. 111 (1991), 1183-1193
MSC: Primary 22E35; Secondary 22E50
MathSciNet review: 1041010
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Abstract: Shalika germs at the identity in $ p$-adic $ {\text{GL}}(n)$ will blow up at other singular points. Waldspurger has developed a technique for describing this behaviour at intermediate singular points, giving a "germ expansion for germs". In this paper we discuss which germs occur in such an expansion and find that the answer is more complicated than expected.

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Keywords: $ {\text{GL}}(n)$, reductive $ p$-adic group, germ expansion
Article copyright: © Copyright 1991 American Mathematical Society

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