Year: 1993
Type: article
Abstract: To the Yang–Baxter equation an additional relation can be added. This is the reflection equation that appears in various places, with or without spectral parameter, e.g., in factorizable scattering on a half-line, integrable lattice models with nonperiodic boundary conditions, noncommutative differential geometry on quantum groups, etc. Two forms of spectral-parameter-independent reflection equations are studied, 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 the constant solutions of the reflection equations are given. Various quadratic algebras defined by the reflection equations are also given explicitly.
Source: Journal of Mathematical Physics
DOI: 10.1063/1.530382
Authors: P. P. Kulish, R. Sasaki, C. Schwiebert
Institutions: Kyoto University, Yukawa Institute for Theoretical Physics
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2055976876