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Duality for Coloured Quantum Groups

arXiv:math/0101191

Abstract

Duality between the coloured quantum group and the coloured quantum algebra corresponding to GL(2) is established. The coloured L^{\pm} functionals are constructed and the dual algebra is derived explicitly. These functionals are then employed to give a coloured generalisation of the differential calculus on quantum GL(2) within the framework of the R-matrix approach.

15 pages LaTeX, published in Lett. Math. Phys