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A Künneth Theorem for p-Adic Groups

Published online by Cambridge University Press:  20 November 2018

A. Raghuram
A. Raghuram*
Affiliation:
Department of Mathematics, Oklahoma State University, Stillwater, OK 74078, U.S.A. e-mail: araghur@math.okstate.edu
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Abstract

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Let ${{G}_{1}}$ and ${{G}_{2}}$ be $p$-adic groups. We describe a decomposition of Ext-groups in the category of smooth representations of ${{G}_{1}}\times {{G}_{2}}$ in terms of Ext-groups for ${{G}_{1}}$ and ${{G}_{2}}$. We comment on $\text{Ext}_{G}^{1}\left( \pi ,\pi \right)$ for a supercuspidal representation $\pi$ of a $p$-adic group $G$. We also consider an example of identifying the class, in a suitable $E\text{x}{{\text{t}}^{1}}$, of a Jacquet module of certain representations of $p$-adic $\text{G}{{\text{L}}_{2n}}$.

Keywords

22E5018G1555U25
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 50 , Issue 3 , 01 September 2007 , pp. 440 - 446
Copyright
Copyright © Canadian Mathematical Society 2007

References

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