Classical and quantum duality in jordanian quantizations
量子代数
2009-10-31 v1
摘要
The limiting transitions between different types of quantizations are studied by the deformation theory methods. We prove that for the first order coboundary deformation (g,g*_1 + x g*_2) of a Lie bialgebra (g,g*) one can always get the quantized Lie bialgebra (g,g*_2) as a limit of the sequence of quantizations of the type A(g,g*_1). The obtained results are illustrated by some low-dimensional examples of quantized Lie algebras and superalgebras.
引用
@article{arxiv.math/9807122,
title = {Classical and quantum duality in jordanian quantizations},
author = {P. P. Kulish and V. D. Lyakhovsky},
journal= {arXiv preprint arXiv:math/9807122},
year = {2009}
}
备注
9 pages, Latex, presented at the VII-th Colloquium "Quantum Groups and Integrable Systems",Prague 18 - 20 June 1998, to be published in Czech. Journal of Physics