A KohnoDrinfeld theorem for the monodromy of cyclotomic KZ connections
Abstract
We compute explicitly the monodromy representations of "cyclotomic" analogs of the KnizhnikZamolodchikov differential system. These are representations of the type B braid group $B_n^1$. We show how the representations of the braid group $B_n$ obtained using quantum groups and universal $R$matrices may be enhanced to representations of $B_n^1$ using dynamical twists. Then, we show how these "algebraic" representations may be identified with the above "analytic" monodromy representations.
 Publication:

arXiv eprints
 Pub Date:
 November 2010
 arXiv:
 arXiv:1011.4285
 Bibcode:
 2010arXiv1011.4285B
 Keywords:

 Mathematics  Quantum Algebra;
 Mathematics  Representation Theory