Projections of orbits and asymptotic behavior of multiplicities for compact connected Lie groups
β Scribed by G. J. Heckman
- Publisher
- Springer-Verlag
- Year
- 1982
- Tongue
- English
- Weight
- 1019 KB
- Volume
- 67
- Category
- Article
- ISSN
- 0020-9910
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π SIMILAR VOLUMES
Let G be the adjoint group of a real semi-simple Lie algebra g and let K be a maximal compact subgroup of G. K C , the complexification of K, acts on p\* C , the complexified cotangent space of GΓK at eK. If O is a nilpotent K C orbit in p\* C , we study the asymptotic behavior of the multiplicities
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