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Invariants of a reduced decomposition

โœ 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

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โœฆ 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.


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โœ S Dekel; D Leviatan ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 262 KB

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