The coloured quantum plane
量子代数
2009-11-07 v1 数学物理
math.MP
摘要
We study the quantum plane associated to the coloured quantum group GL_{q}^{\lambda,\mu}(2) and solve the problem of constructing the corresponding differential geometric structure. This is achieved within the R-matrix framework generalising the Wess-Zumino formalism and leads to the concept of coloured quantum space. Both, the coloured Manin plane as well as the bicovariant differential calculus exhibit the colour exchange symmetry. The coloured h-plane corresponding to the coloured Jordanian quantum group GL_{h}^{\lambda,\mu}(2) is also obtained by contraction of the coloured q-plane.
引用
@article{arxiv.math/0202183,
title = {The coloured quantum plane},
author = {Deepak Parashar},
journal= {arXiv preprint arXiv:math/0202183},
year = {2009}
}
备注
10 pages, (AMS)LaTeX, to appear in J. Geom. Phys