From Schouten to Mackenzie: notes on brackets

DOI10.3934/jgm.2021013zbMath1483.17001arXiv2105.14828OpenAlexW3164785588MaRDI QIDQ2065151

Yvette Kosmann-Schwarzbach

Publication date: 7 January 2022

Published in: Journal of Geometric Mechanics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.14828

zbMATH Keywords

graded Lie algebraSchouten bracketGerstenhaber algebraFrölicher-Nijenhuis bracketNijenhuis torsionMackenzie theoryNijenhuis-Richardson bracket

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Graded Lie (super)algebras (17B70) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) History of differential geometry (53-03) History of nonassociative rings and algebras (17-03)

Related Items (1)

Brackets by any other name

Cites Work

• Zur Differentialgeometrie der komplexen Strukturen
• The cohomology structure of an associative ring
• On the deformation of rings and algebras
• Sopra una classe di deformazioni finite
• Sur le problème d'équivalence de certaines structures infinitésimales
• On the cohomology groups of an associative algebra
• Graded Lie algebras in mathematics and physics (Bose-Fermi symmetry)
• Commutative Algebras and Cohomology
• Lie Algebroids and Lie Pseudoalgebras
• Cohomology and deformations in graded Lie algebras
• Cohomology and deformations of algebraic structures
• Ricci-Calculus
• Sur les structures presque complexes et autres structures infinitésimales régulières
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