Representations of quantum affine algebras
Copyright policy )Representations of quantum affine algebras
In this paper we define a quantum version of the ``fusion'' tensor product of two representations of an affine Kac-Moody algebra.It is replaced by what we call fusion action of the category of finite-dimensional representations of quantum affine algebra on its highest weight representations. We construct a quantum version of the associativity constraint. We give categorical treatment of the subject and related questions ( like quantum Knizhnik-Zamolodchikov equations).
plain TeX, 61 pages
- Kansas State University United States
- Arkansas State University United States
- Harvard University United States
Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, fusion, quantum affine algebras, Mathematics - Quantum Algebra, FOS: Mathematics, quasi-associativity constraints, Quantum Algebra (math.QA), Quantum groups (quantized enveloping algebras) and related deformations, Sugawara operators, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics
Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, fusion, quantum affine algebras, Mathematics - Quantum Algebra, FOS: Mathematics, quasi-associativity constraints, Quantum Algebra (math.QA), Quantum groups (quantized enveloping algebras) and related deformations, Sugawara operators, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics
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