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Lie Brackets on Affine Bundles |
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| Authors: | Grabowska Katarzyna Grabowski Janusz Urba&#;ski Pawe&#; |
| Institution: | (1) Division of Mathematical Methods in Physics, University of Warsaw, Ho a 74, 00-682 Warsaw, Poland;(2) Polish Academy of Sciences, Institute of Mathematics, ul.  niadeckich 8, P.O. Box 21, 00-956 Warsaw 10, Poland |
| Abstract: | 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. |
| Keywords: | Lie bracket Lie algebroid affine bundle Poisson structure |
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