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Virasoro Algebra, Dedekind -function and Specialized Macdonald's Identities
Antun Milas
We motivate and prove a series of identities which form a generalization of the Euler's pentagonal number theorem, and are closely related to specialized Macdonald's identities for…
Formal differential operators, vertex operator algebras and zeta--values , II
Antun Milas
We introduce certain correlation functions (graded --traces) associated to vertex operator algebras and superalgebras which we refer to as --point functions. These naturally…
Formal differential operators, vertex operator algebras and zeta--values, I
Antun Milas
We study relationships between spinor representations of certain Lie algebras and Lie superalgebras of differential operators on the circle and values of --functions at the nega…
Twisted modules for vertex operator algebras and Bernoulli polynomials
Benjamin Doyon, James Lepowsky, Antun Milas
Using general principles of the theory of vertex operator algebras and their twisted modules, we obtain a bosonic, twisted construction of a certain central extension of a Lie alge…