%0 Journal Article
%T FRT Construction for Dynamical Yang-Baxter Maps
%A Youichi Shibukawa
%A Mitsuhiro Takeuchi
%J Mathematics
%D 2009
%I arXiv
%X 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.
%U http://arxiv.org/abs/0912.1156v1