Generalized Littlewood–Richardson rule and sum of coadjoint orbits of compact Lie groups

✍ Scribed by Majdi Ben Halima

• Publisher: Elsevier Science
• Year: 2011
• Tongue: French
• Weight: 111 KB
• Volume: 135
• Category: Article
• ISSN: 0007-4497
• DOI: 10.1016/j.bulsci.2011.03.005

✦ Synopsis

Let G be a compact connected semisimple Lie group. We extend to all irreducible finite-dimensional representations of G a result of Heckman which provides a relation between the generalized Littlewood-Richardson rule and the sum of G-coadjoint orbits. As an application of our result, we describe the eigenvalues of a sum of two real skew-symmetric matrices.