Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

   
Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
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
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 22E35, 22E50

Retrieve articles in all journals with MSC: 22E35, 22E50


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1991-1041010-8
PII: S 0002-9939(1991)1041010-8
Keywords: $ {\text{GL}}(n)$, reductive $ p$-adic group, germ expansion
Article copyright: © Copyright 1991 American Mathematical Society