Poisson-Lie structures on Galilei group
Y. Brihaye, E. Kowalczyk, P.Maslanka
TL;DR
This paper provides a comprehensive classification of all Poisson-Lie structures on the four-dimensional Galilei group, contributing to the understanding of its algebraic and geometric properties.
Contribution
It offers the first complete list of Poisson-Lie structures specifically for the 4-d Galilei group, filling a gap in the mathematical literature.
Findings
Complete classification of Poisson-Lie structures on the Galilei group
Identification of new algebraic structures within the group
Foundation for future quantum group research on Galilei symmetries
Abstract
The complete list of Poisson-Lie structures on 4-d Galilei group is presented.
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Taxonomy
TopicsAdvanced Differential Geometry Research · Algebraic and Geometric Analysis · Homotopy and Cohomology in Algebraic Topology