arXiv:hep-th/9201031 · Physics Letters B

New solutions to the Yang-Baxter equation from two-dimensional representations of Uq(sl(2)) at roots of unity

M. Ruiz-Altaba

Published Apr 1, 1992• 19 citations

arXiv HTML PDF

DOI: 10.1016/0370-2693(92)90399-o

Related papers

New solutions to the slq(2) -invariant Yang–Baxter equations at roots of unity

David Roudolph Karakhanyan, Sh. Khachatryan

arXiv:1012.5900Nuclear Physics BMay 21, 20114 citations

New boson representations of the sl q (2) with multiplicity two and new solutions to the Yang-Baxter equation atq p =1

Mo‐Lin Ge, Xu‐Feng Liu, Chang-Pu Sun

Letters in Mathematical PhysicsNov 1, 19913 citations

Yang-Baxter equation for the sl(n) chiral potts model

Rinat Kashaev, Vladimir V. Mangazeev, Tomoki Nakanishi

Nuclear Physics BSep 1, 199117 citations

On some quantum R matrices associated with representations of Uq(sl(2,C)) when q is a root of unity

M Couture

The author constructs quantum R matrices associated with certain non-cyclic irreducible representations of U q (sl(2,c)) at roots of unity which are parametrized by one continuous parameter. The author finds solutions for the two- and three-dimensional representations via Baxterization. The two-dimensional case corresponds to the free fermion model of Fan and Wu (1970).

Journal of Physics A Mathematical and GeneralFeb 7, 199117 citations

All solutions to the constant quantum Yang-Baxter equation in two dimensions

Jarmo Hietarinta

arXiv:hep-th/9210067Physics Letters AMay 1, 199297 citations

Unitary Solutions to the Yang–Baxter Equation in Dimension Four

Heather A. Dye

arXiv:quant-ph/0211050Quantum Information ProcessingApr 1, 200392 citations