We consider the monoidal category of modules graded by the monoid of words made from a finite alphabet. The associativity constraints, braidings and quantizations related to the grading are described explicitly. By quantizations of R-matrices in the same manner as braidings we obtain new R-matrices that by construction still satisfy the Yang—Baxter equation.
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Huru, H.L. (2009). Remarks on Quantizations, Words and R-Matrices. In: Silvestrov, S., Paal, E., Abramov, V., Stolin, A. (eds) Generalized Lie Theory in Mathematics, Physics and Beyond. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-85332-9_8
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