Deformation of Yangian Y(sl(2))
Artikel i vetenskaplig tidskrift, 1998

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)).

Författare

S.M. Khoroshkin

Alexander Stolin

Göteborgs universitet

Institutionen för matematik

V. Tolstoy

Communications in Algebra

0092-7872 (ISSN) 1532-4125 (eISSN)

Vol. 26 4 1041-1055

Ämneskategorier

Matematik

DOI

10.1080/00927879808826182