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 |