Modules and representations up to homotopy of Lie \(n\)-algebroids

DOI10.1007/s40062-022-00322-xOpenAlexW2997198201MaRDI QIDQ2690065

Rajan Amit Mehta, Madeleine Jotz Lean, T. Papantonis

Publication date: 15 March 2023

Published in: Journal of Homotopy and Related Structures (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.01101

zbMATH Keywords

differential graded modulesPoisson algebrasLie \(n\)-algebroidsrepresentations up to homotopyadjoint and coadjoint representations

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Pseudogroups and differentiable groupoids (58H05)

Related Items

The modular class of a singular foliation

Cites Work

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• Tensor products of representations up to homotopy
• On the category of Lie \(n\)-algebroids
• Generalized complex geometry
• Deformations of Lie brackets and representations up to homotopy
• The Weil algebra and the Van Est isomorphism
• Double Lie algebroids and representations up to homotopy
• Obstructions to the integrability of \(\mathcal{VB}\)-algebroids
• A survey on stability and rigidity results for Lie algebras
• Foliated groupoids and infinitesimal ideal systems
• Lie algebroid modules and representations up to homotopy
• Higher vector bundles and multi-graded symplectic manifolds
• BFV-complex and higher homotopy structures
• Linear and multiplicative 2-forms
• Lie algebroid structures on double vector bundles and representation theory of Lie algebroids
• Homotopy algebras inspired by classical open-closed string field theory
• Modular classes of Lie groupoid representations up to homotopy
• \(Q\)-algebroids and their cohomology
• Superconnections and the Chern character
• Lie bialgebroids and Poisson groupoids
• Manin triples for Lie bialgebroids
• Dorfman connections and Courant algebroids
• The geometrization of \(\mathbb{N}\)-manifolds of degree 2
• Integration of Lie bialgebroids
• On LA-Courant algebroids and Poisson Lie 2-algebroids
• Modular class of Lie \(\infty\)-algebroids and adjoint representations
• Lie 2-algebroids and matched pairs of 2-representations: a geometric approach
• \(\mathcal{VB}\)-algebroid morphisms and representations up to homotopy
• Higher derived brackets and homotopy algebras
• Some remarks on representations up to homotopy
• Higher extensions of Lie algebroids
• Representations up to homotopy of Lie algebroids
• Lie algebroids and homological vector fields
• Generalized Calabi-Yau Manifolds
• Multiple vector bundles: cores, splittings and decompositions
• Integration of $2$-term representations up to homotopy via $2$-functors
• The A∞ de Rham Theorem and Integration of Representations up to Homotopy
• Representations of Homotopy Lie–Rinehart Algebras