On the (g,K)-cohomology of certain theta lifts

Soo Teck Lee and Chen-bo Zhu

Vol. 199 (2001), No. 1, 93–110

DOI: 10.2140/pjm.2001.199.93

Abstract

Let 𝜃^p,q be the theta lift of Sp(4, ℝ) from the trivial representation of O(p,q), where p + q is even. We compute the (g,K)-cohomology of 𝜃^p,q by embedding them into certain degenerate principal series representations of Sp(4, ℝ).

Milestones

Received: 27 April 1998

Revised: 1 February 2000

Published: 1 May 2001