Yang-Baxter algebras based on the two-colour BWM algebra
Uwe Grimm, S. Ole Warnaar
TL;DR
This paper introduces a Baxterization process for a two-colour generalization of the BWM algebra, leading to new solutions to the Yang-Baxter equation through combined RSOS-type representations.
Contribution
It develops a Baxterization method for the two-colour BWM algebra and constructs new RSOS-type solutions to the Yang-Baxter equation.
Findings
New RSOS-type solutions to the Yang-Baxter equation
Representation of the two-colour BWM algebra
Baxterization technique for algebraic structures
Abstract
We present a Baxterization of a two-colour generalization of the Birman--Wenzl--Murakami (BWM) algebra. Appropriately combining two RSOS-type representations of the ordinary BWM algebra, we construct representations of the two-colour algebra. Using the Baxterization, this provides new RSOS-type solutions to the Yang--Baxter equation.
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