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Representation Theory

Published by the American Mathematical Society since 1997, this electronic-only journal is devoted to research in representation theory and seeks to maintain a high standard for exposition as well as for mathematical content. All articles are freely available to all readers and with no publishing fees for authors.

ISSN 1088-4165

The 2020 MCQ for Representation Theory is 0.71.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


Spherical functions of the symmetric space $G(\mathbb {F}_{q^{2}})/G(\mathbb {F}_q)$
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by Anthony Henderson
Represent. Theory 5 (2001), 581-614
Published electronically: November 28, 2001


We apply Lusztig’s theory of character sheaves to the problem of calculating the spherical functions of $G(\mathbb {F}_{q^{2}})/G(\mathbb {F}_q)$, where $G$ is a connected reductive algebraic group. We obtain the solution for generic spherical functions for any $G$, and for all spherical functions when $G=GL_n$. The proof includes a result about convolution of character sheaves and its interaction with the associated two-sided cells.
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Bibliographic Information
  • Anthony Henderson
  • Affiliation: Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
  • Address at time of publication: School of Mathematics and Statistics, University of Sydney, NSW 2006, Australia
  • MR Author ID: 687061
  • ORCID: 0000-0002-3965-7259
  • Email:
  • Received by editor(s): December 1, 2000
  • Received by editor(s) in revised form: August 14, 2001
  • Published electronically: November 28, 2001
  • © Copyright 2001 American Mathematical Society
  • Journal: Represent. Theory 5 (2001), 581-614
  • MSC (2000): Primary 20G40, 20G05; Secondary 20C15, 32C38
  • DOI:
  • MathSciNet review: 1870603