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MiS Preprint
64/2000
Duality for coloured quantum groups
Deepak Parashar
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.