Hopf Algebras, Quantum Groups and Yang-Baxter Equations

• Main Author: Florin Felix Nichita (Ed.) (auth)
• Format: Electronic Book Chapter
• Language: English
• Published: MDPI - Multidisciplinary Digital Publishing Institute 2019
• Subjects: braided category; quasitriangular structure; quantum projective space; Hopf algebra; quantum integrability; duality; six-vertex model; Quantum Group; Yang-Baxter equation; star-triangle relation; R-matrix; Lie algebra; bundle; braid group
• Online Access: DOAB: download the publication; DOAB: description of the publication

The Yang-Baxter equation first appeared in theoretical physics, in a paper by the Nobel laureate C.N. Yang and in the work of R.J. Baxter in the field of Statistical Mechanics. At the 1990 International Mathematics Congress, Vladimir Drinfeld, Vaughan F. R. Jones, and Edward Witten were awarded Fiel...