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arXiv · 2004.10900

Lie-Nijenhuis bialgebroids

Thiago Drummond
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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.

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Thiago Drummond. 2020-04-22. Lie-Nijenhuis bialgebroids. https://doi.org/10.1093/qmath/haab048

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