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Poisson-Lie structures on the Galilei group. (English) Zbl 1066.17012

Summary: The complete list of Poisson-Lie structures on the Galilei group acting in 4-dimensional space-time is presented.

MSC:

17B63 Poisson algebras
53D17 Poisson manifolds; Poisson groupoids and algebroids
81R05 Finite-dimensional groups and algebras motivated by physics and their representations