ar X iv : h ep - t h / 93 02 04 3 v 1 1 1 Fe b 19 93 ON THE HOPF ALGEBRAS GENERATED BY THE YANG - BAXTER R - MATRICES

ar X iv : h ep - t h / 04 06 15 5 v 1 1 8 Ju n 20 04 Two - parameter extensions of the κ - Poincaré quantum deformation

We consider the extensions of classical r-matrix for κ-deformed Poincaré algebra which satisfy modified Yang-Baxter equation. Two examples introducing additional deformation parameter (dimension-full 1 κ or dimensionless ξ) are presented. We describe the corresponding quantization (two-parameter κ-Poincaré quantum Hopf algebras) in explicite form as obtained by twisting of standard κ-deformed f...

ar X iv : h ep - t h / 04 06 15 5 v 3 8 J un 2 00 5 Two - parameter extensions of the κ - Poincaré quantum deformation

We consider the extensions of classical r-matrix for κ-deformed Poincaré algebra which satisfy modified Yang-Baxter equation. Two examples introducing additional deformation parameter (dimension-full 1 κ or dimensionless ξ) are presented. We describe the corresponding quantization (two-parameter κ-Poincaré quantum Hopf algebras) in explicite form as obtained by twisting of standard κ-deformed f...

ar X iv : h ep - p h / 04 02 19 0 v 1 1 8 Fe b 20 04 1 Pentaquarks in the 10 F - and 10 F - plets

ar X iv : h ep - t h / 93 11 02 7 v 1 4 N ov 1 99 3 YITP / U - 93 - 33 Reflection Bootstrap Equations for Toda Field

Uji Research Center Yukawa Institute for Theoretical Physics Kyoto University, Uji 611, Japan Abstract An algebraic approach to integrable quantum field theory with a boundary (a half line) is presented and interesting algebraic equations, Reflection equations (RE) and Reflection Bootstrap equations (RBE) are discussed. The Reflection equations are a consistent generalisation of Yang-Baxter equ...

ar X iv : h ep - t h / 04 06 15 5 v 2 9 D ec 2 00 4 Two - parameter extensions of the κ - Poincaré quantum deformation

We consider the extensions of classical r-matrix for κ-deformed Poincaré algebra which satisfy modified Yang-Baxter equation. Two examples introducing additional deformation parameter (dimension-full 1 κ or dimensionless ξ) are presented. We describe the corresponding quantization (two-parameter κ-Poincaré quantum Hopf algebras) in explicite form as obtained by twisting of standard κ-deformed f...