Sponsored by the Rutgers University Department of Mathematics and the
Center for Discrete Mathematics and Theoretical Computer Science (DIMACS)
Title: Characters, descents and matrices
Speaker: Ron Adin, Bar-Ilan University (Israel)
Date: Thursday, May 9, 2013 5:00pm
Location: Hill Center, Room 705, Rutgers University, Busch Campus, Piscataway, NJ
A certain family of square matrices plays a major role in character formulas for the symmetric group and related algebras. These matrices are non-symmetric relatives of Hadamard matrices, and have some fascinating properties (including sign patterns and determinants) which may be explained by use of Moebius inversion. They provide a handy tool for translation of statements about permutation statistics to results in representation theory, and vice versa. We shall describe some of these properties and connections.
Joint work with Yuval Roichman.