Trilinear forms of gl₂

Hung Yean Loke

Vol. 197 (2001), No. 1, 119–144

DOI: 10.2140/pjm.2001.197.119

Abstract

Let G be either GL₂(ℝ) or GL₂(ℂ) with maximal compact subgroup K. Let g be its complexified Lie algebra. In this paper, we will construct (g,K)-invariant forms on ⊗_i=1³π_i where π_i is an infinitesimal principal series representation.

Milestones

Received: 6 April 1999

Revised: 20 September 1999

Published: 1 January 2001