Tuesday, May 20, 14:00, 7.527.

Shraddha Srivastava (IIT Dharwad)
On iterated Induction-restriction for rook monoids and partition algebras.

Abstract:
It is well-known that partition algebras are in Schur-Weyl duality with the symmetric group both acting on a tensor space. Rook monoids form an important class of monoids and closely tied with symmetric groups. In this talk, we discuss a connection between the centralizer algebras of iterated induction-restriction of the trivial representation of a rook monoid and partition algebras. This is based on a joint work with Volodymyr Mazorchuk.