Quantum affine algebras and universalR-matrix with spectral parameter |
| |
Authors: | Yao-Zhong Zhang M D Gould |
| |
Institution: | (1) Department of Mathematics, University of Queensland, 4072 Brisbane, Qld, Australia |
| |
Abstract: | Using the previously obtained universalR-matrix for the quantized nontwisted affine Lie algebras U
q
(A
1
(1)
) and U
q
(A
2
(1)
), we determine the explicitly spectral dependent universalR-matrix for the corresponding quantum Lie algebras U
q
(A
1) and U
q
(A
2). As applications, we reproduce the well known results in the fundamental representations and we also derive an extremely explicit formula of the spectral-dependentR-matrix for the adjoint representation of U
q
(A
2), the simplest nontrivial case when the tensor product decomposition of the representation with itself has nontrivial multiplicity. |
| |
Keywords: | 81R10 17B37 16W30 |
本文献已被 SpringerLink 等数据库收录! |
|