Abstract
We introduce a new Baxterisation for R-matrices that depend separately on two spectral parameters. The Baxterisation is based on a new algebra, close to but different from the braid group. We study representations of this new algebra on the vector space \({(\mathbb{C}^m)^{\otimes n}}\), when the generators act locally. The ones for \({m=2}\) are completely classified. We also introduce some representations for generic m: they allow us to recover the R-matrix of the multi-species generalization of the totally asymmetric simple exclusion process with different hopping rates.
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Communicated by H.-T. Yau
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Crampe, N., Frappat, L., Ragoucy, E. et al. A New Braid-like Algebra for Baxterisation. Commun. Math. Phys. 349, 271–283 (2017). https://doi.org/10.1007/s00220-016-2780-y
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DOI: https://doi.org/10.1007/s00220-016-2780-y