More on the Frölicher-Nijenhuis bracket in noncommutative differential geometry

DOI10.1016/S0022-4049(96)00053-9zbMath0889.58011OpenAlexW2055575643WikidataQ115340126 ScholiaQ115340126MaRDI QIDQ1371295

Peter W. Michor, Michel Dubois-Violette

Publication date: 22 June 1998

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-4049(96)00053-9

zbMATH Keywords

differential graded algebrasFrölicher-Nijenhuis bracketcommutative differential geometry

Mathematics Subject Classification ID

Noncommutative topology (46L85) Noncommutative differential geometry (46L87) General mathematical topics and methods in quantum theory (81Q99)

Related Items (8)

Nijenhuis operators on Hom-Lie algebras ⋮ Braided Cartan calculi and submanifold algebras ⋮ Derivation-based noncommutative field theories on AF algebras ⋮ Derived brackets ⋮ Fields and forms on \(\rho\)-algebras. ⋮ ON THE CURVATURE OF FINSLER MANIFOLD UNDER PROJECTIVE TRANSFORMATION ⋮ ON THE SECTIONAL CURVATURE OF THE HOMOGENEOUS CONNECTION ON FINSLER MANIFOLD ⋮ On anchored Lie algebras and the Connes-Moscovici bialgebroid construction

Cites Work

• The multigraded Nijenhuis-Richardson algebra, its universal property and applications
• Aspects of the theory of infinite dimensional manifolds
• The convenient setting for real analytic mappings
• Lectures on fibre bundles and differential geometry. Reissued
• On the Deformation of Algebra Morphisms and Diagrams
• Noncommutative differential geometry of matrix algebras
• Cohomology and deformations in graded Lie algebras
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