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Pré-Publication, Document De Travail Année : 2007

On rime Ansatz

Résumé

The ice Ansatz on matrix solutions of the Yang-Baxter equation is weakened to a condition which we call rime. Generic rime solutions of the Yang-Baxter equation are described. We prove that the rime non-unitary (respectively, unitary) R-matrix is equivalent to the Cremmer-Gervais (respectively, boundary Cremmer-Gervais) solution. Generic rime classical r-matices satisfy the (non-)homogeneous associative classical Yang-Baxter equation.

Dates et versions

hal-00473346 , version 1 (15-04-2010)

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Oleg Ogievetsky, Todor Popov. On rime Ansatz. 2007. ⟨hal-00473346⟩
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