Non-commutative extensions of the MacMahon master theoremAlgebra & Discrete Mathematics
|Matjaz Konvalinka, M.I.T.
|Mon, Nov 5 2007, 4:10PM
The MacMahon master theorem is a classic theorem in enumerative combinatorics with many interesting applications. Recently, a q-right-quantum generalization was given by Garoufalidis-Le-Zeilberger. In this talk, we present a framework that not only gives a simple new proof of the classical result, but also generalizes the GLZ master theorem and gives some other extensions and applications.