Iterated loop modules and a filtration for vertex representation of toroidal Lie algebras

S. Eswara Rao

Vol. 171 (1995), No. 2, 511–528

DOI: 10.2140/pjm.1995.171.511

Abstract

The purpose of this paper is two fold. The first one is to construct a continuous new family of irreducible (some of them are unitarizable) modules for Toroidal algebras. The second one is to describe the sub-quotients of the (integrable) modules constructed through the use of Vertex operators.

Mathematical Subject Classification 2000

Primary: 17B65

Secondary: 17B67, 17B69

Milestones

Received: 20 May 1993

Revised: 16 February 1994

Published: 1 December 1995