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 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 as a -supersymmetry of the exterior differential calculus of any quantum plane of Hecke type, acting by mixing the bosonic co-ordinates and the forms .
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}
}
Comments
31 pages LATEX