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On rime Ansatz

2007/12/23 by O. Ogievetsky, Oleg Ogievetsky, Ogievetsky, Oleg +2
Arts and Humanities · Mathematics · Social Sciences · #Critical Theory and Philosophy #FOS: Mathematics #Political Theology and Sovereignty #Quantum Algebra (math.QA) #Seventeenth-Century Political and Philosophical Thought #math.QA

paper · pdf · doi:10.48550/arxiv.0712.3953

4 pages, talk given at the VII International Workshop "Supersymmetries and Quantum Symmetries", Dubna 2007

arxiv created 2007/12/23 · openalex publication_date 2007/12/23 · arxiv updated 2009/12/01 · openalex created_date 2023/01/06 · openalex updated_date 2026/07/28

Abstract

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.

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