Compatible Discrete Series
表示论
2008-10-11 v3
摘要
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 (\cite{Ko2}) by B. Kostant. In this paper we provide proofs for most of Kostant's results extending them to -nilpotent ideals and develop one direction of Kostant's investigation, the compatible discrete series.
关键词
引用
@article{arxiv.math/0207275,
title = {Compatible Discrete Series},
author = {P. Cellini and P. Möseneder Frajria and P. Papi},
journal= {arXiv preprint arXiv:math/0207275},
year = {2008}
}
备注
AmsTex file, 27 Pages; minor corrections; to appear in Pacific Journal of Mathematics