On Kostant's partial order on hyperbolic elements

Huajun Huang, Sangjib Kim
2010 Linear and multilinear algebra  
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.
doi:10.1080/03081080903062113 fatcat:x3zffgflxbd5vbyxojh7ikvp24