A characterization of Dynkin elements
表示论
2007-05-23 v2 群论
摘要
We give a characterization of the Dynkin elements of a simple Lie algebra. Namely, we prove that one-half of a Dynkin element is the unique point of minimal length in its N-region. In type A_n this translates into a statement about the regions determined by the canonical left Kazhdan-Lusztig cells. Some possible generalizations are explored in the last section.
引用
@article{arxiv.math/0212089,
title = {A characterization of Dynkin elements},
author = {Paul E. Gunnells and Eric Sommers},
journal= {arXiv preprint arXiv:math/0212089},
year = {2007}
}
备注
9 pages