Weyl Modules for Classical and Quantum Affine algebras

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We define a family of universal finite-dimensional highest weight modules for affine Lie algebras, we call these Weyl modules. We conjecture that these are the classical limits of the irreducible finite--dimensional representations of the quantum affine algebras. We prove this conjecture in the case of affine sl_2. We establish a criterion for these modules to be irreducible and prove a factorization theorem for them in the general case.

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Quantum Algebra, 17B37

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http://salesiana.dossiersoluciones.com/handle/123456789/59086

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0004174
 http://arxiv.org/abs/math/0004174

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arXiv