Yuly Billig
Modules for a sheaf of Lie algebras on loop manifolds.
Втр, 09/13/2011 - 15:01 — SomNambulAuthors: Yuly Billig
Subjects: Representation Theory
AbstractWe consider a central extension of the sheaf of Lie algebras of maps from a
manifold into a finite-dimensional simple Lie algebra, together with the sheaf
of vector fields. Using vertex algebra methods we construct sheaves of modules
for this sheaf of Lie algebras. Our results extend the work of
Malikov-Schechtman-Vaintrob on the chiral de Rham complex.Representations of Lie algebra of vector fields on a torus and chiral de Rham complex.
Чт, 09/01/2011 - 15:01 — SomNambulAuthors: Yuly Billig, Vyacheslav Futorny
Subjects: Representation Theory
AbstractThe goal of this paper is to study the representation theory of a classical
infinite-dimensional Lie algebra - the Lie algebra of vector fields on an
N-dimensional torus for N > 1. The case N=1 gives a famous Virasoro algebra (or
its centerless version - the Witt algebra). The algebra of vector fields has an
important class of tensor modules parametrized by finite-dimensional modules of
gl(N). Tensor modules can be used in turn to construct bounded irreducible
modules for the vector fields on N+1-dimensional torus, which are the central
objects of our study.- Читать далее
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Irreducible Modules for Extended Affine Lie Algebras.
Пт, 02/12/2010 - 16:01 — SomNambulAuthors: Yuly Billig, Michael Lau
Subjects: Representation Theory
AbstractWe construct irreducible modules for twisted toroidal Lie algebras and
extended affine Lie algebras. This is done by combining the representation
theory of untwisted toroidal algebras with the technique of thin coverings of
modules. We illustrate our method with examples of extended affine Lie algebras
of Clifford type.
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