振荡子代数的Lie双代数量子化及其泛$R$矩阵
q-alg
2009-10-30 v2 量子代数
摘要
针对由生成的振荡子代数，构造了所有余边界Lie双代数及其相应的Poisson-Lie结构。利用Lyakhovsky和Mudrov形式体系，从这些双代数导出了量子振荡子代数，并在某些情形下获得了代数和群两个层面的量子化，包括其泛矩阵。
引用
@article{arxiv.q-alg/9602029,
title = {Lie bialgebra quantizations of the oscillator algebra and their universal $R$--matrices},
author = {Angel Ballesteros and Francisco J. Herranz},
journal= {arXiv preprint arXiv:q-alg/9602029},
year = {2009}
}
备注
19 pages, LaTeX; revised version to appear in J. Phys. A; quantization of bialgebras is completed