Murali Srinivasan

Description
Title: Eigenvalues and eigenvectors of the perfect matching association
scheme.


Abstract:

We revisit the Bose-Mesner algebra of the perfect matching association
scheme (aka the Hecke algebra of the Gelfand pair (S_2n, H_n), where
H_n is the hyperoctahedral group).

Our main results are:

(1) An algorithm to compute the eigenvalues from symmetric group
characters by solving linear equations.

(2) Universal formulas, as content evaluations of symmetric functions,
for the eigenvalues of fixed orbitals (generalizing a result of
Diaconis and Holmes).

(3) An inductive construction of the eigenvectors (generalizing a
result of Godsil and Meagher).
Description
Ramanujan Hall
Date
Wed, November 1, 2017
Start Time
11:00am-12:30pm IST
Duration
1 hour 30 minutes
Priority
5-Medium
Access
Public
Created by
DEFAULT ADMINISTRATOR
Updated
Sun, October 29, 2017 9:44pm IST