A construction of projective bases for irreducible representations of multiplicative groups of division algebras over local fields

David Kazhdan*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

Let F be a local non-archimedian field of positive characteristic, D a skew-field with center F and G0:=D0× the multiplicative group of D. The goal of this paper is to provide a canonical decomposition of any complex irreducible representation V of G in a direct sum of one-dimensional subspaces. I will also consider the case when F0=Qp,p=2,3,5,7 or 13.

Original languageEnglish
Article number61
JournalSelecta Mathematica, New Series
Volume25
Issue number4
DOIs
StatePublished - 1 Oct 2019

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© 2019, Springer Nature Switzerland AG.

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