Deformed yangians and integrable models

1997/08/22 by P. P. Kulish, A. A. Stolin · 48 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Chain (unit) #Deformation (meteorology) #Domain (mathematical analysis) #Homotopy and Cohomology in Algebraic Topology #Integrable system #Nonlinear Waves and Solitons #math.QA #q-alg

paper · pdf · doi:10.1023/a:1022869414679

published in Czechoslovak Journal of Physics 47(12), 1207-1212 (Springer Science+Business Media) · LaTeX, 7 pages, no figures; Contribution to the 6th Colloquium ``Quantum Groups and Integrable Systems'', Prague, June, 1997

arxiv created 1997/08/22 · openalex publication_date 1997/12/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Twisted Hopf algebra sl_ξ(2) gives rise to a deformation of the Yangian \cal Y(sl(2)). The corresponding deformations of the integrable XXX-spin chain and the Gaudin model are discussed.

Citations

• New rational solutions of Yang-Baxter equation and deformed Yangians

Cited by

• Twist deformation of the rank-one Lie superalgebra