2006/05/09 by Maxim Samsonov, Samsonov, M., Alexander Stolin +3
Mathematics · Physics and Astronomy · #33D15 #81R50 #82B23 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons #Quantum Algebra (math.QA)
paper · pdf · doi:10.48550/arxiv.math/0605236
openalex publication_date 2006/05/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We propose a method of quantization of certain Lie bialgebra structures on the polynomial Lie algebras related to quasi-trigonometric solutions of the classical Yang--Baxter equation. The method is based on an affine realization of certain seaweed algebras and their quantum analogues. We also propose a method of ω-affinization, which enables us to quantize rational r-matrices of \mathfraksl(3).