Weyl Modules for Classical and Quantum Affine algebras
量子代数
2007-05-23 v1
摘要
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.
引用
@article{arxiv.math/0004174,
title = {Weyl Modules for Classical and Quantum Affine algebras},
author = {Vyjayanthi Chari and Andrew Pressley},
journal= {arXiv preprint arXiv:math/0004174},
year = {2007}
}