Deformation of Yangian Y(sl(2))

• A quantization of a non-standard rational solution of CYBE for sit is given explicitly. We obtain the quantization with the help of a twisting of the usual Yangian Y (sl(2)). This quantum object (deformed Yangian Y-eta,Y-xi(sl(2))) is a two-parametric deformation of the universal enveloping algebra U(sl(2)[u]) of the polynomial current algebra sl(2)[u]. We consider the pseudotriangular structure on Y-eta,Y-xi(sl(2)), the quantum double DYeta,xi(sl(2)), its the universal R-matrix and also the RTT-realization of Y-eta,Y-xi(sl(2)).

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NATURVETENSKAP  -- Matematik (hsv//swe)

NATURAL SCIENCES  -- Mathematics (hsv//eng)

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