Lie-Nijenhuis bialgebroids
Symplectic Geometry
2023-05-05 v1 Differential Geometry
Abstract
We introduce Lie-Nijenhuis bialgebroids as Lie bialgebroids endowed with an additional derivation-like object. They give a complete infinitesimal description of Poisson-Nijenhuis groupoids, and key examples include Poisson-Nijenhuis manifolds, holomorphic Lie bialgebroids and flat Lie bialgebra bundles. To achieve our goal we develop a theory of "generalized derivations" and their duality, extending the well-established theory of derivations on vector bundles.
Cite
@article{arxiv.2004.10900,
title = {Lie-Nijenhuis bialgebroids},
author = {Thiago Drummond},
journal= {arXiv preprint arXiv:2004.10900},
year = {2023}
}
Comments
First version, 30 pages