Exchange dynamical quantum groups
Quantum Algebra
2009-10-31 v2
Abstract
For any simple Lie algebra g and any complex number q which is not zero or a nontrivial root of unity, we construct a dynamical quantum group (Hopf algebroid), whose representation theory is essentially the same as the representation theory of the quantum group U_q(g). This dynamical quantum group is obtained from the fusion and exchange relations between intertwining operators in representation theory of U_q(g), and is an algebraic structure standing behind these relations.
Cite
@article{arxiv.math/9801135,
title = {Exchange dynamical quantum groups},
author = {Pavel Etingof and Alexander Varchenko},
journal= {arXiv preprint arXiv:math/9801135},
year = {2009}
}
Comments
30 pages, latex; two short sections and some remarks were added