English

Duality for Coloured Quantum Groups

Quantum Algebra 2007-05-23 v1 Mathematical Physics math.MP

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.

Keywords

Cite

@article{arxiv.math/0101191,
  title  = {Duality for Coloured Quantum Groups},
  author = {Deepak Parashar},
  journal= {arXiv preprint arXiv:math/0101191},
  year   = {2007}
}

Comments

15 pages LaTeX, published in Lett. Math. Phys