New Solutions of the Yang-Baxter Equation Based on Root of 1 Representations of the Para-Bose Superalgebra U${}_q$[osp(1/2)]

Abstract

New solutions of the quantum Yang-Baxter equation, depending in general on three arbitrary parameters, are written down. They are based on the root of unity representations of the quantum orthosymplectic superalgebra \\U, which were found recently. Representations of the braid group $B_N$ are defined within any $N^{th}$ tensorial power of root of 1 \\U modules.

11 pages, PlainTex

References in corpus (5)

• The quantum superalgebra $U_q[osp(1/2n)]$: deformed para-Bose operators and root of unity representations
• On a possible algebra morphism of U${}_q$[OSP(1/2N)] onto the deformed oscillator algebra W${}_q$(N)
• A Superalgebra Morphism of Uq[OSP(1/2N)] onto the Deformed Oscillator Superalgebra Wq(N)
• Unitarizable Representations of the Deformed Para-Bose Superalgebra Uq[osp(1/2)] at Roots of 1
• On Automorphisms and Universal R-Matrices at Roots of Unity