The coloured quantum plane
Deepak Parashar
Abstract
We study the quantum plane associated to the coloured quantum group GLqλ,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 GLhλ,μ(2) is also obtained by contraction of the coloured q-plane.
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