Year: 1998
Type: article
Abstract: We introduce a natural extension of the usual covariance property for the reflection equation. To solve one reflection equation we propose to use a family of reflection equations with various Drinfeld twists of the initial R -matrix. This allows us to produce non-trivial representations of the reflection equation algebra in a systematic way. As an example, we consider a twist of the Lie algebra sl (2) related to some integrable tops and to the Toda lattices associated with the root system.
Author: A V Tsiganov
Institution: St Petersburg University
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W1993386883