English

Nonstandard Quantum Groups and Superisation

q-alg 2008-02-03 v1 Quantum Algebra

Abstract

We obtain the universal R-matrix of the non-standard quantum group associated to the Alexander-Conway knot polynomial. We show further that this non-standard quantum group is related to the super-quantum group Uqgl(11)U_qgl(1|1) by a general process of superization, which we describe. We also study a twisted variant of this non-standard quantum group and obtain, as a result, a twisted version of Uqgl(11)U_qgl(1|1) as a qq-supersymmetry of the exterior differential calculus of any quantum plane of Hecke type, acting by mixing the bosonic xix_i co-ordinates and the forms dxid x_i.

Keywords

Cite

@article{arxiv.q-alg/9506015,
  title  = {Nonstandard Quantum Groups and Superisation},
  author = {S. Majid and M. J. Rodriguez-Plaza},
  journal= {arXiv preprint arXiv:q-alg/9506015},
  year   = {2008}
}

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31 pages LATEX