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Deformation of Yangian Y(sl(2))

S.M. Khoroshkin ; Alexander Stolin (Institutionen för matematik) ; V. Tolstoy
Communications in Algebra (0092-7872). Vol. 26 (1998), 4, p. 1041-1055.
[Artikel, refereegranskad vetenskaplig]

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)).



Denna post skapades 2017-05-23.
CPL Pubid: 249466

 

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Institutioner (Chalmers)

Institutionen för matematik (1987-2001)

Ämnesområden

Matematik

Chalmers infrastruktur