Alladi Ramakrishnan Hall

The weighted perfect matching association scheme

Sridhar P Narayanan

IIT Bombay

This is a report of ongoing work with M. Srinivasan to extend his study of perfect matchings to wreath products. We introduce perfect matchings and study the eigenvalues of the Bose-Meisner algebra of the association scheme. I will outline how we hope to use results by Pushkarev, Ryba and Mishra-Srinivasan to find universal formulas for these eigenvalues.