Lie Brackets on Affine Bundles

By K. Grabowska, J. Grabowski, P. Urbański. 2002

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Natural affine analogs of Lie brackets on affine bundles are studied.In particular, a close relation to Lie algebroids and a duality withcertain affine analog of Poisson structure is established as well asaffine versions of complete lifts and Cartan exterior calculi.

Subfields: Algebra and Number Theory, Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/c6b84dde29a84f05a2f7b18b8fec14cc9599daaa