Invariants of a reduced decomposition
โ Scribed by T.A Springer
- Book ID
- 104140540
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 147 KB
- Volume
- 260
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
โฆ Synopsis
Let G be a semi-simple group, provided with an involutorial automorphism whose fixed-point group is K. A Borel group B of G has finitely many orbits in the variety G/K. This paper discusses some invariants attached to a B-orbit: a numerical invariant introduced by R.W. Richardson, and two subsets of the Weyl group. These sets are described in terms of root system data.
๐ SIMILAR VOLUMES
The motivation for this work is a recently constructed family of generators of shift invariant spaces with certain optimal approximation properties, but which are not refinable in the classical sense. We try to see whether, once the classical refinability requirement is removed, it is still possible