Compatible discrete series

Paola Cellini, Pierluigi Möseneder Frajria and Paolo Papi

Vol. 212 (2003), No. 2, 201–231

DOI: 10.2140/pjm.2003.212.201

Abstract

Several very interesting results connecting the theory of abelian ideals of Borel subalgebras, some ideas of D. Peterson relating the previous theory to the combinatorics of affine Weyl groups, and the theory of discrete series are stated in a recent paper (Kostant, 1998) by B. Kostant.

In this paper we provide proofs for most of Kostant’s results extending them to ad-nilpotent ideals and develop one direction of Kostant’s investigation, the compatible discrete series.

Milestones

Received: 6 September 2002

Published: 1 December 2003