Two dimensional current algebras and affine fusion product

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dc.creatorFeigin, B.
dc.creatorFeigin, E.
dc.date2006-07-04
dc.date.accessioned2026-07-07T07:18:00Z
dc.date.available2026-07-07T07:18:00Z
dc.descriptionIn this paper we study a family of commutative algebras generated by two infinite sets of generators. These algebras are parametrized by Young diagrams. We explain a connection of these algebras with the fusion product of integrable irreducible representations of the affine $sl_2$ Lie algebra. As an application we derive a fermionic formula for the character of the affine fusion product of two modules. These fusion products can be considered as a simplest example of the double affine Demazure modules.
dc.description22 pages
dc.identifierhttps://arxiv.org/abs/math/0607091
dc.identifierhttp://arxiv.org/abs/math/0607091
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/114146
dc.subjectQuantum Algebra
dc.subjectRepresentation Theory
dc.titleTwo dimensional current algebras and affine fusion product
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