Unitary representations of the extended affine Lie algebra gl₃(ℂ_q)

Ziting Zeng

Vol. 233 (2007), No. 2, 481–509

DOI: 10.2140/pjm.2007.233.481

Abstract

We present modules for the extended affine Lie algebra gl₃(ℂ_q) by using the idea of free fields. We give a necessary and sufficient condition for the modules to be unitary.

Keywords

extended affine Lie algebra, hermitian form, unitary representation

Mathematical Subject Classification 2000

Primary: 06B15

Secondary: 81R50

Milestones

Received: 2 October 2006

Revised: 12 November 2006

Accepted: 21 November 2006

Published: 1 December 2007