Quantum Group and Manin Plane Related to a Coloured Braid Group Representation

نویسنده

  • B. Basu - Mallick
چکیده

By considering 'coloured' braid group representation we have obtained a quantum group, which reduces to the standard GL q (2) and GL p,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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تاریخ انتشار 1993