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arxiv: math/0101191 · v1 · submitted 2001-01-23 · 🧮 math.QA · math-ph· math.MP

Duality for Coloured Quantum Groups

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keywords colouredquantumalgebradualityfunctionalsapproachcalculusconstructed
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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.

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