Merris and Watkins interpreted results of Littlewood to give generating functions for symmetric group characters induced from one-dimensional characters of Young subgroups. Beginning with an n by n matrix X of formal variables, one obtains induced sign and trivial characters by expanding sums of products of certain determinants and permanents, respectively. We will look at a new analogous result which holds for hyperoctahedral group characters induced from four one-dimensional characters of its Young subgroups. This requires more formal variables and four combinations of determinants and permanents. This is joint work with Jongwon Kim.
CAGE: Philadelphia Area Combinatorics and Alg. Geometry Seminar
Thursday, February 20, 2020 - 3:00pm
Mark Skandera
Lehigh University