Lie 2-algebroids and matched pairs of 2-representations: a geometric approach
From MaRDI portal
Publication:2305330
DOI10.2140/pjm.2019.301.143zbMath1443.53047arXiv1712.07035OpenAlexW3102040445WikidataQ127233776 ScholiaQ127233776MaRDI QIDQ2305330
Publication date: 10 March 2020
Published in: Pacific Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1712.07035
matched pairsLie bialgebroidsrepresentations up to homotopyDorfman connectionsLie 2-algebroidsVB-Courant algebroids
Related Items (8)
A geometrisation of \(\mathbb{N}\)-manifolds ⋮ Categorification of \(\mathsf{VB}\)-Lie algebroids and \(\mathsf{VB}\)-Courant algebroids ⋮ Modules and representations up to homotopy of Lie \(n\)-algebroids ⋮ On LA-Courant algebroids and Poisson Lie 2-algebroids ⋮ Homotopy Poisson algebras, Maurer-Cartan elements and Dirac structures of CLWX 2-algebroids ⋮ Deformation spaces and normal forms around transversals ⋮ Atiyah classes and Kontsevich–Duflo type theorem for dg manifolds ⋮ Dg manifolds, formal exponential maps and homotopy Lie algebras
Cites Work
- Unnamed Item
- Unnamed Item
- On the category of Lie \(n\)-algebroids
- From double Lie groupoids to local Lie 2-groupoids
- Integration of exact Courant algebroids
- Poisson homogeneous spaces and Lie algebroids associated to Poisson actions
- Double Lie algebroids and representations up to homotopy
- Lie algebroid structures on double vector bundles and representation theory of Lie algebroids
- Omni-Lie algebroids
- Tangent of a Courant algebroid
- Analysis - 10
- Lie bialgebroids and Poisson groupoids
- Manin triples for Lie bialgebroids
- Remarks on the definition of a Courant algebroid
- Dorfman connections and Courant algebroids
- The geometrization of \(\mathbb{N}\)-manifolds of degree 2
- \(\mathcal{VB}\)-algebroid morphisms and representations up to homotopy
- Higher extensions of Lie algebroids
- E-Courant Algebroids
- DIRAC STRUCTURES OF OMNI-LIE ALGEBROIDS
- Ehresmann doubles and Drinfel'd doubles for Lie algebroids and Lie bialgebroids
- Matched pairs of Lie algebroids
- AV-Courant Algebroids and Generalized CR Structures
This page was built for publication: Lie 2-algebroids and matched pairs of 2-representations: a geometric approach
