On weak Lie 2-algebras

zbMath1168.81352arXiv0712.3461MaRDI QIDQ3632068

Dmitry Roytenberg

Publication date: 23 June 2009

Full work available at URL: https://arxiv.org/abs/0712.3461

zbMATH Keywords

Lie algebraCourant algebroidcrossed modulecategorification

Mathematics Subject Classification ID

Special categories (18B99) Leibniz algebras (17A32) Lie algebras and Lie superalgebras (17B99) Homological algebra in category theory, derived categories and functors (18G99)

Related Items (20)

Lie 2-algebra models ⋮ The Pontryagin class for pre-Courant algebroids ⋮ Lie 2-bialgebras ⋮ Semistrict higher gauge theory ⋮ Strong homotopy Lie algebras, homotopy Poisson manifolds and Courant algebroids ⋮ Leibniz 2-Algebras and Twisted Courant Algebroids ⋮ Extended Riemannian geometry. I: Local double field theory ⋮ Higher Structures in M‐Theory ⋮ Group actions on DG-manifolds and exact Courant algebroids ⋮ Omni-Lie 2-algebras and their Dirac structures ⋮ Infinitesimal symmetries of bundle gerbes and Courant algebroids ⋮ \(L _{\infty }\)-algebras from multisymplectic geometry ⋮ The 2-Hilbert space of a prequantum bundle gerbe ⋮ Cohomology of hemistrict Lie 2-algebras ⋮ Hom-Lie 2-superalgebras ⋮ Topological field theories induced by twisted \(R \)-Poisson structure in any dimension ⋮ Six-dimensional (1,0) superconformal models and higher gauge theory ⋮ Categorified symplectic geometry and the classical string ⋮ Teleparallel gravity as a higher gauge theory ⋮ ON 2-HOLONOMY

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