The coloured quantum plane

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• 作者：Parashar ; Deepak
• 关键词：81R50 ; 17B37 ; Quantum groups ; Quantum groups ; Manin plane ; Differential calculus
• 刊名：Journal of Geometry and Physics
• 出版年：2003
• 出版时间：January, 2003
• 年：2003
• 卷：44
• 期：4
• 页码：481-488
• 全文大小：72.8 K

文摘

We study the quantum plane associated to the coloured quantum group GL_q^λ,μ(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^λ,μ(2) is also obtained by contraction of the coloured q-plane.