Quantum group and Manin plane related to a coloured braid group representation
B. Basu-Mallick
Abstract
By considering `coloured' braid group representation we have obtained a quantum group, which reduces to the standard GLq(2) and GLp,q(2) cases at some particular limits of the `colour' parameters. In spite of quite complicated nature, all of these new quantum group relations can be expressed neatly in the Heisenberg-Weyl form, for a nontrivial choice of the basis elements. Furthermore, it is possible to associate invariant Manin planes, parametrised by the `colour' variables, with such quantum group structure.
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