Quantum seaweed algebras and quantization of affine Cremmer–Gervais r-matrices
نویسنده
چکیده
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 sl(3).
منابع مشابه
2 2 Ja n 20 05 Semi - classical twists for sl 3 and sl 4 boundary r − matrices of Cremmer - Gervais type
We obtain explicit formulas for the semi-classical twists deforming coalgebraic structure of U(sl3) and U(sl4). In the rank 2 or 3 the corresponding universal R−matrices quantize the boundary r−matrices of Cremmer-Gervais type defining Lie Frobenius structures on the maximal parabolic subalgebras in sln.
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