**Date & Time:** Thursday, February 19, 2015, 14:30-16:00.

**Venue:** Room 216

**Title:** Wreath product action on generalized Boolean algebras

**Speaker:** Ashish Mishra, IIT Bombay

**Abstract:** Let $G$ be a finite group acting on the finite set $X$ such that
the corresponding (complex) permutation representation is multiplicity free.
There is a natural rank and order preserving action of the wreath product $G
wreath S_n$ on the generalized Boolean algebra $B_X(n)$. We explicitly block
diagonalize the commutant of this action by using explicit block diagonalization of the commutant of natural action of $S_n$ on Boolean algebra $B(n)$. (joint work with Prof. M. K. Srinivasan).