2004/07/06 by D. Arnaudon, Arnaudon, D., A. Chakrabarti +5
Mathematics · #17B37 #20G42 #81R50 #FOS: Mathematics #Quantum Algebra (math.QA) #math.QA #msc:17B37 #msc:20G42 #msc:81R50
paper · pdf · doi:10.48550/arxiv.math/0407085
11 pages, LaTeX2e, requires ws-procs9x6.cls; using packages: amsfonts, amsmath, amssymb; talk by D.A. at 5-th International Workshop "Lie Theory and Its Applications in Physics", Varna, Bulgaria, (June 2003), to appear in the Proceedings (World Scientific, Singapore, 2004)
In the classification of solutions of the Yang--Baxter equation, there are solutions that are not deformations of the trivial solution (essentially the identity). We consider the algebras defined by these solutions, and the corresponding dual algebras. We then study the representations of the latter. We are also interested in the Baxterisation of these R-matrices and in the corresponding quantum planes.