Twisted Yang-Baxter equations for linear quantum (super)groups

Abstract

We consider the modified (or twisted) Yang-Baxter equations for the $S{L}_q(N)$ groups and $S{L}_q(N|M)$ supergroups. The general solutions for these equations are presented in the case of the linear quantum (super)groups. The introduction of spectral parameters in the twisted Yang-Baxter equation and its solutions are also discussed.

11 pages, LaTeX

References in corpus (4)

• Fock Representations of Quantum Fields with Generalized Statistic
• Quadratic brackets from symplectic forms
• Elliptic solution for modified tetrahedron equations
• Generalized Yang-Baxter Equation

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• Quantum matrix algebra for the SU(n) WZNW model
• Hopf Structure and Green Ansatz of Deformed Parastatistics Algebras
• Monodromy Representations of the Braid Group
• Quantum su(n)_k monodromy matrices
• Classification of Non-Affine Non-Hecke Dynamical R-Matrices
• Zero modes of the SU(2)_k Wess-Zumino-Novikov-Witten model in Euler angles parametrization