Séminaire Algèbre ICJ

Gradings on simple Lie algebras

par Alberto Elduque (Universidad de Zaragoza)

Europe/Paris
112 (bât. Braconnier)

112

bât. Braconnier

ICJ, UCBL - La Doua
Description
A survey of some recent classification results for gradings by abelian groups on finite dimensional simple Lie algebras over algebraically closed fields will be given. This will require the classification of gradings on matrix algebras, on the algebra of octonions and on the Albert algebra (exceptional simple Jordan algebra). The tools needed from affine group schemes will be reviewed too.