Nonassociative generalization of Lie groupoids and discrete mechanics (Zohreh Ravanpak, Timisoara)

28.11.2023 16:30 – 17:30

Smooth Loops are a generalization of Lie groups by dropping associativity. They are well-established objects in mathematics and they found several applications in physics and geometry. In this talk, we extend this notion to smooth loopoids, nonassociative analogs of Lie groupoids.

Lie groupoids play an important role in the standard formulation of discrete Lagrangian and Hamiltonian Mechanics. After recalling this formalism in the second part of the talk, we show that the associativity assumption is not essential here. This is illustrated in an example using unitary octonions as the discrete configuration space of a mechanical system.

This is based on joint work with J. Grabowski.

(Note unusual time)

Lieu

Bâtiment: Conseil Général 7-9

Room 1-07, Séminaire "Groupes de Lie et espaces de modules"

entrée libre