Tensor products for SL₂(𝒦). I. Complementary series and the special representation

Charles A. Asmuth and Joe Repka

Vol. 97 (1981), No. 2, 271–282

DOI: 10.2140/pjm.1981.97.271

Abstract

We obtain the decomposition of the tensor product of two irreducible unitary representations of SL₂ of a local field in the case when at least one of them is the special representation or in the complementary series. This is done by considering the analytic continuation of the unitary principal series.

Mathematical Subject Classification 2000

Primary: 22E50

Milestones

Received: 10 October 1979

Published: 1 December 1981