pith. machine review for the scientific record. sign in

arxiv: math/9906094 · v2 · submitted 1999-06-14 · 🧮 math.QA

Recognition: unknown

Quantum (1+1) extended Galilei algebras: from Lie bialgebras to quantum R-matrices and integrable systems

Angel Ballesteros , Enrico Celeghini , Francisco J. Herranz
Authors on Pith no claims yet
classification 🧮 math.QA
keywords quantumextendedgalileialgebrasbialgebrasintegrableobtainedr-matrices
0
0 comments X
read the original abstract

The Lie bialgebras of the (1+1) extended Galilei algebra are obtained and classified into four multiparametric families. Their quantum deformations are obtained, together with the corresponding deformed Casimir operators. For the coboundary cases quantum universal R-matrices are also given. Applications of the quantum extended Galilei algebras to classical integrable systems are explicitly developed.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Universal $T$-matrices for quantum Poincar\'e groups: contractions and quantum reference frames

    math.QA 2026-04 unverdicted novelty 7.0

    A new quantum deformation of the centrally extended Poincaré algebra is introduced whose universal T-matrix contracts to the Galilei T-matrix for quantum reference frames and appears as a central extension of the spac...