Tensor products for SL₂(k). II. Supercuspidal representations

Charles A. Asmuth and Joe Repka

Vol. 97 (1981), No. 1, 1–18

DOI: 10.2140/pjm.1981.97.1

Abstract

Certain pairs of quadratic extension Weil representations of SL₂(k) have as their tensor product the quaternion Weil representations. This fact is used to develop a method for decomposing tensor products of certain pairs of irreducible supercuspidal representations of SL₂(k).

Mathematical Subject Classification 2000

Primary: 22E50

Milestones

Received: 10 October 1979

Published: 1 November 1981