Nonhomogeneous quadratic duality and curvature

zbMath0826.16041arXiv1411.1982MaRDI QIDQ1326931

L. E. Positsel'skiĭ

Publication date: 13 July 1994

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.1982

zbMATH Keywords

differential graded algebrasdifferential formsgeneratorsgraded algebrasderivationsChern classesquadratic algebrasChern-Simons classesprincipal bundlesalgebra of differential operatorsdual objectsPoincaré- Birkhoff-Witt theoremquadratic dualityhomogeneous relationscommutation relations for vector fieldscurved differential graded algebrasde-Rham complexdifferential operators on a vector bundleKoszul CDG-algebrasQL-algebrasQLS-algebrasquadratic-linear algebrasquadratic-linear-scalar algebras

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Differential geometry of homogeneous manifolds (53C30) Characteristic classes and numbers in differential topology (57R20) Differential forms in global analysis (58A10) Ext and Tor, generalizations, Künneth formula (category-theoretic aspects) (18G15) Derivations, actions of Lie algebras (16W25) Rings of differential operators (associative algebraic aspects) (16S32) Quadratic and Koszul algebras (16S37) Quadratic algebras (but not quadratic Jordan algebras) (17A45)

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