Weyl Modules for Classical and Quantum Affine algebras

Details Weyl Modules for Classical and Quantum Affine algebras Weyl Modules for Classical and Quantum Affine algebras

2000-04-27

arxiv.org/abs/math/0004174v1

Mathematics

Quantum Algebra

Scientific paper

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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