Irreducible non-dense A₁⁽¹⁾-modules

Vjacheslav M. Futorny

Vol. 172 (1996), No. 1, 83–99

DOI: 10.2140/pjm.1996.172.83

Abstract

We study the irreducible weight non-dense modules for Affine Lie Algebra A₁⁽¹⁾ and classify all such modules having at least one finite-dimensional weight subspace. We prove that any irreducible non-zero level module with all finite-dimensional weight subspaces is non-dense.

Mathematical Subject Classification 2000

Primary: 17B67

Secondary: 17B10

Milestones

Received: 12 July 1993

Revised: 2 December 1993

Published: 1 January 1996