Yassen S. Stanev, Ivan T. Todorov
Monodromy Representations of the Mapping Class Group B$_n$ for the su$_2$ Knizhnik--Zamolodchikov Equation
The paper is published: in: H. Grosse et. al. (eds), "Low-dimensional models in statistical physics and quantum field theory. Proceedings of the 34. Internationale Universitaetswochen fuer Kern-und Teilchenphysik, Schladming, Austria, 1995", Lect. Notes Phys. 469, Springer--Verlag 1996, 201-222

MSC:

17B37 Quantum groups and related deformations, See also {16W30, 81R50, 82B23}

58B30 Noncommutative differential geometry and topology, See also {46L30, 46L87, 46L89}

81R50 Quantum groups and related algebraic methods, See Also {16W30, 17B37}

Abstract: The monodromy representation of $\Cal B_n$ for the
{\it Knizhnik-Zamoldchikov} (KZ) {\it equation} associated with
({\it height} $h=k+2$)
$su_2$ currents is given by a finite dimensional realization of the
$R$-matrix of the {\it quantum universal enveloping} (QUE)
{\it algebra} $U_q(sl_2)$ (for $q^h=-1$).
Keywords: Knizhnik-Zamoldchikov equation, monodromy representation, quantum group