Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Haar Measure and the Artin Conductor


Authors: Benedict H. Gross and Wee Teck Gan
Journal: Trans. Amer. Math. Soc. 351 (1999), 1691-1704
MSC (1991): Primary 11E64
MathSciNet review: 1458303
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Let $G$ be a connected reductive group, defined over a local, non-archimedean field $k$. The group $G(k)$ is locally compact and unimodular. In On the motive of a reductive group, Invent. Math. 130 (1997), by B. H. Gross, a Haar measure $|\omega _G|$ was defined on $G(k)$, using the theory of Bruhat and Tits. In this note, we give another construction of the measure $|\omega _G|$, using the Artin conductor of the motive $M$ of $G$ over $k$. The equivalence of the two constructions is deduced from a result of G. Prasad.


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


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC (1991): 11E64

Retrieve articles in all journals with MSC (1991): 11E64


Additional Information

Benedict H. Gross
Affiliation: Department of Mathematics, Harvard University, Cambridge, Massachusetts 02138
Email: gross@math.harvard.edu

Wee Teck Gan
Affiliation: Department of Mathematics, Princeton University, Princeton, New Jersey 08540
Email: wtgan@math.princeton.edu

DOI: http://dx.doi.org/10.1090/S0002-9947-99-02095-4
PII: S 0002-9947(99)02095-4
Received by editor(s): March 4, 1997
Article copyright: © Copyright 1999 American Mathematical Society