Duality for Coloured Quantum Groups

Details Duality for Coloured Quantum Groups Duality for Coloured Quantum Groups

2001-01-23

arxiv.org/abs/math/0101191v1

Lett. Math. Phys. 53 (2000) 29-40

Mathematics

Quantum Algebra

15 pages LaTeX, published in Lett. Math. Phys

Scientific paper

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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