Higher-Order Analogs of Lie Algebroids via Vector Bundle Comorphisms

Symmetry Integrability and Geometry-Methods and Applications

article

Michał Jóźwikowski¹  Mikołaj Rotkiewicz² 

[1] Institute of Mathematics, Polish Academy of Sciences;Faculty of Mathematics, University of Warsaw

关键词: Braid group;    double cosets;    Burau representation;   

DOI  :  10.3842/SIGMA.2018.135

来源: National Academy of Science of Ukraine

【 摘 要 】

We introduce the concept of a higher algebroid, generalizing the notions of an algebroid and a higher tangent bundle. Our ideas are based on a description of (Lie) algebroids as vector bundle comorphisms - differential relations of a special kind. In our approach higher algebroids are vector bundle comorphism between graded-linear bundles satisfying natural axioms. We provide natural examples and discuss applications in geometric mechanics.

【 授权许可】

Unknown