Lie Bialgebra Structures on Twodimensional Galilei Algebra and their Lie-Poisson Counterparts

1997/04/10 by Emil Kowalczyk, Kowalczyk, Emil
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Quantum Algebra (math.QA) #math.QA #q-alg

paper · pdf · doi:10.48550/arxiv.q-alg/9704009

LaTeX, Pages 18

arxiv created 1997/04/10 · openalex publication_date 1997/04/10 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

All bialgebra structures on twodimensional Galilei algebra are classified. The corresponding Lie-Poisson structures on Galilei group are found.

Related

• Poisson-Lie structures on Galilei group
• The Two-Dimensional Quantum Galilei Groups
• Lie bialgebras of complex type and associated Poisson Lie groups
• Lie super-bialgebra structures on the two dimensional supersymmetric Galilean conformal algebra
• Nambu Structures And Associated Bialgebroids