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The coloured quantum plane

Deepak Parashar
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Abstract

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.

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Deepak Parashar. 2002-02-18. The coloured quantum plane. https://doi.org/10.1016/s0393-0440(02)00051-7

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