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math-ph2020★ 3 cited
Discrete mechanics on unitary octonions
Janusz Grabowski, Zohreh Ravanpak
In this article we generalize the discrete Lagrangian and Hamiltonian mechanics on Lie groups to non-associative objects generalizing Lie groups (smooth loops). This shows that the…
math.DG2020
Transitive nilpotent Lie algebras of vector fields and their Tanaka prolongations
Katarzyna Grabowska, Janusz Grabowski, Zohreh Ravanpak
Transitive local Lie algebras of vector fields can be easily constructed from dilations of associating with coordinates positive weights (give me a sequence of p…