Representations of Toroidal general linear Superalgebra

Details Representations of Toroidal general linear Superalgebra Representations of Toroidal general linear Superalgebra

2011-04-06

arxiv.org/abs/1104.1068v1

Mathematics

Representation Theory

40 pages

Scientific paper

We consider general linear superalgebra (type A) and tensor with Laurent
polynomial ring in several variables. We then consider the universal central
extension of this Lie superalgebra which we call toroidal superalgebra. We give
a faithful representation of toroidal superalgebra using vertex operators and
bosons.

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