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).