FRT Construction for Dynamical Yang-Baxter Maps

Details FRT Construction for Dynamical Yang-Baxter Maps FRT Construction for Dynamical Yang-Baxter Maps

2009-12-07

arxiv.org/abs/0912.1156v1

Mathematics

Quantum Algebra

Scientific paper

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.

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