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math.CO2011
Some Generalizations of the MacMahon Master Theorem
Michael P. Tuite
We consider a number of generalizations of the -extended MacMahon Master Theorem for a matrix. The generalizations are based on replacing permutations on multisets formed from m…
math.QA2011
Virasoro Correlation Functions for Vertex Operator Algebras
Donny Hurley, Michael P. Tuite
We consider all genus zero and genus one correlation functions for the Virasoro vacuum descendants of a vertex operator algebra. These are described in terms of explicit generating…
math.QA2011
A Generalized Vertex Operator Algebra for Heisenberg Intertwiners
Michael P. Tuite, Alexander Zuevsky
We consider the extension of the Heisenberg vertex operator algebra by all its irreducible modules. We give an elementary construction for the intertwining vertex operators and sho…