๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Polynomial algebras on coadjoint orbits of semisimple Lie groups

โœ Scribed by Mark J. Gotay; Janusz Grabowski; Bryon Kaneshige


Book ID
108357929
Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
83 KB
Volume
170
Category
Article
ISSN
0022-4049

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


Semisimple Orbits of Lie Algebras and Ca
โœ Jason Fulman ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 119 KB

Random walk on the chambers of hyperplane arrangements is used to define a family of card shuffling measures H W x for a finite Coxeter group W and real x = 0. By algebraic group theory, there is a map from the semisimple orbits of the adjoint action of a finite group of Lie type on its Lie algebra

Counting Semisimple Orbits of Finite Lie
โœ Jason Fulman ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 82 KB

The adjoint action of a finite group of Lie type on its Lie algebra is studied. A simple formula is conjectured for the number of semisimple orbits of a given split genus. This conjecture is proved for type A, and partial results are obtained for other types. For type A a probabilistic interpretatio