New rational solutions of Yang-Baxter equation and deformed Yangians

1996/08/14 by Alexander Stolin, A. Stolin, P. P. Kulish · 2 citations
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons #math.QA #q-alg

paper · pdf · doi:10.1023/a:1021460515598

8 pages, TeX

arxiv created 1996/08/14 · openalex publication_date 1997/01/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper a class of new quantum groups is presented: deformed Yangians. They arise from rational solutions of the classical Yang-Baxter equation of the form c₂ /u + const . The universal quantum R-matrix for a deformed Yangian is described. Its image in finite-dimensional representaions of the Yangian gives new matrix rational solutions of the Yang-Baxter equation (YBE).

Cited by

• Multiparameter deformed and non-standard Y(glM) Yangian symmetry in a novel class of spin Calogero-Sutherland models
• Extended Jordanian twists for Lie algebras