Constant Solutions of Reflection Equations and Quantum Groups

Details Constant Solutions of Reflection Equations and Quantum Groups Constant Solutions of Reflection Equations and Quantum Groups

1992-05-14

arxiv.org/abs/hep-th/9205039v1

J.Math.Phys.34:286-304,1993

Physics

High Energy Physics

High Energy Physics - Theory

31 pages

Scientific paper

10.1063/1.530382

To the Yang-Baxter equation an additional relation can be added. This is the reflection equation which appears in various places, with or without spectral parameter. For example, in factorizable scattering on a half-line, integrable lattice models with non-periodic boundary conditions, non-commutative differential geometry on quantum groups, etc. We study two forms of spectral parameter independent reflection equations, chosen by the requirement that their solutions be comodules with respect to the quantum group coaction leaving invariant the reflection equations. For a variety of known solutions of the Yang-Baxter equation we give the constant solutions of the reflection equations. Various quadratic algebras defined by the reflection equations are also given explicitly.

Affiliated with

Also associated with

No associations

Rating

Constant Solutions of Reflection Equations and Quantum Groups does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Constant Solutions of Reflection Equations and Quantum Groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Constant Solutions of Reflection Equations and Quantum Groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-725650