The SL(2)-type and base change

Omer Offen, Eitan Sayag

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


The SL(2)-type of any smooth, irreducible and unitarizable representation of GLn over a p-adic field was defined by Venkatesh. We provide a natural way to extend the definition to all smooth and irreducible representations. For unitarizable representations we show that the SL(2)-type of a representation is preservedu nder the base change with respect to any finite extension. The Klyachko model of a smooth, irreducible and unitarizable representation π of GLn depends only on the SL(2)-type of π. As a consequence we observe that the Klyachko model of π andof its base change are of the same type.

Original languageEnglish
Pages (from-to)228-235
Number of pages8
JournalRepresentation Theory
Issue number11
StatePublished - 23 Jun 2009

ASJC Scopus subject areas

  • Mathematics (miscellaneous)


Dive into the research topics of 'The SL(2)-type and base change'. Together they form a unique fingerprint.

Cite this