Quantum seaweed algebras and quantization of affine Cremmer-Gervais r-matrices

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dc.creatorSamsonov, M.
dc.creatorStolin, A.
dc.creatorTolstoy, V.
dc.date2006-05-09
dc.date.accessioned2026-07-07T07:14:04Z
dc.date.available2026-07-07T07:14:04Z
dc.descriptionWe 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 $\mathfrak{sl}(3)$.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/math/0605236
dc.identifierhttp://arxiv.org/abs/math/0605236
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/112718
dc.subjectQuantum Algebra
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subject82B23; 33D15; 81R50
dc.titleQuantum seaweed algebras and quantization of affine Cremmer-Gervais r-matrices
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