English

On Kostant's partial order on hyperbolic elements

Group Theory 2009-05-12 v1 Representation Theory

Abstract

We study Kostant's partial order on the elements of a semisimple Lie group in relations with the finite dimensional representations. In particular, we prove the converse statement of [3, Theorem 6.1] on hyperbolic elements.

Keywords

Cite

@article{arxiv.0905.1532,
  title  = {On Kostant's partial order on hyperbolic elements},
  author = {Huajun Huang and Sangjib Kim},
  journal= {arXiv preprint arXiv:0905.1532},
  year   = {2009}
}

Comments

7 pages

R2 v1 2026-06-21T13:00:22.851Z