Verma modules induced from nonstandard Borel subalgebras

Ben Cox

Vol. 165 (1994), No. 2, 269–294

DOI: 10.2140/pjm.1994.165.269

Abstract

In this paper we study composition series and embeddings of Verma modules induced from “nonstandard” Borel subalgebras. This article can be viewed as a generalization of Futorny’s work on imaginary Verma modules for A₁⁽¹⁾ where the center of the Kac-Moody algebra acts nontrivially.

Mathematical Subject Classification 2000

Primary: 17B67

Secondary: 17B10

Milestones

Received: 3 February 1992

Revised: 15 September 1992

Accepted: 18 January 1993

Published: 1 October 1994