Speaker: Ivan Marin (Amiens)
Title: Generalized Brauer Algebras
Abstract:
The algebra of Brauer diagrams provides a combinatorial description of the commutant algebra of the action of the orthogonal and symplectic groups on the n-th fold tensor powers of its standard representation. It is a natural extension of the group algebra of the symmetric group. A generalization to arbitrary (complex) reflection groups has been proposed by Z. Chen, whose structure remain widely unknown. We will present this algebra and the first steps in the determination of its representation.