CMS/SMC
Canadian Mathematical Society
www.cms.math.ca
Canadian Mathematical Society
  location:  PublicationsjournalsCMB
Publications        
Abstract view

A Künneth Theorem for $p$-Adic Groups

  Published:2007-09-01
 Printed: Sep 2007
  • A. Raghuram
Features coming soon:
Citations   (via CrossRef) Tools: Search Google Scholar:
Format:   HTML   LaTeX   MathJax   PDF   PostScript  

Abstract

Let $G_1$ and $G_2$ be $p$-adic groups. We describe a decomposition of ${\rm Ext}$-groups in the category of smooth representations of $G_1 \times G_2$ in terms of ${\rm Ext}$-groups for $G_1$ and $G_2$. We comment on ${\rm Ext}^1_G(\pi,\pi)$ for a supercuspidal representation $\pi$ of a $p$-adic group $G$. We also consider an example of identifying the class, in a suitable ${\rm Ext}^1$, of a Jacquet module of certain representations of $p$-adic ${\rm GL}_{2n}$.
MSC Classifications: 22E50, 18G15, 55U25 show english descriptions Representations of Lie and linear algebraic groups over local fields [See also 20G05]
Ext and Tor, generalizations, Kunneth formula [See also 55U25]
Homology of a product, Kunneth formula
22E50 - Representations of Lie and linear algebraic groups over local fields [See also 20G05]
18G15 - Ext and Tor, generalizations, Kunneth formula [See also 55U25]
55U25 - Homology of a product, Kunneth formula
 

© Canadian Mathematical Society, 2014 : https://cms.math.ca/