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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.


Geometric local theta correspondence for dual reductive pairs of type II at the Iwahori level
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by Banafsheh Farang-Hariri
Represent. Theory 17 (2013), 610-646
Published electronically: December 9, 2013


In this paper we are interested in the geometric local theta correspondence at the Iwahori level for dual reductive pairs $(G,H)$ of type II over a non-Archimedean field of characteristic $p\neq 2$ in the framework of the geometric Langlands program. We consider the geometric version of the $I_{H}\times I_{G}$-invariants of the Weil representation $\mathcal {S}^{I_{H}\times I_{G}}$ as a bimodule under the action of Iwahori-Hecke algebras $\mathcal {H}_{I_{G}}$ and $\mathcal {H}_{I_{H}}$ and we give some partial geometric description of the corresponding category under the action of Hecke functors. We also define geometric Jacquet functors for any connected reductive group $G$ at the Iwahori level and we show that they commute with the Hecke action of the $\mathcal {H}_{I_{L}}$-subelgebra of $\mathcal {H}_{I_{G}}$ for a Levi subgroup $L$.
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Bibliographic Information
  • Banafsheh Farang-Hariri
  • Affiliation: Humboldt-Universitët zu Berlin, Institut für Mathematik, Unter den Linden 6, 10099 Berlin, Germany
  • Address at time of publication: Université de Paris XI, Laboratoire de Mathématiques, Bât 425, 91405 Orsay Cedex, France
  • Email:
  • Received by editor(s): February 26, 2013
  • Received by editor(s) in revised form: September 24, 2013
  • Published electronically: December 9, 2013
  • © Copyright 2013 American Mathematical Society
  • Journal: Represent. Theory 17 (2013), 610-646
  • MSC (2010): Primary 14D24, 11F27; Secondary 22E57, 20C08
  • DOI:
  • MathSciNet review: 3139267