FRT Construction for Dynamical Yang-Baxter Maps
Quantum Algebra
2009-12-08 v1
Abstract
Notions of an (H, X)-bialgebroid and of its dynamical representation are proposed. The dynamical representations of each (H, X)-bialgebroid form a tensor category. Every dynamical Yang-Baxter map R(lambda) satisfying suitable conditions, a generalization of the set-theoretical solution to the quantum Yang-Baxter equation, gives birth to an (H, X)-bialgebroid A_R. The categories of L-operators for R(lambda) and of dynamical representations of A_R are isomorphic as tensor categories.
Keywords
Cite
@article{arxiv.0912.1156,
title = {FRT Construction for Dynamical Yang-Baxter Maps},
author = {Youichi Shibukawa and Mitsuhiro Takeuchi},
journal= {arXiv preprint arXiv:0912.1156},
year = {2009}
}