Lie-Cartan pairs

DOI10.1016/0393-0440(85)90001-4zbMath0593.17009OpenAlexW2078198603MaRDI QIDQ1076126

Raymond Stora, Daniel Kastler

Publication date: 1985

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0393-0440(85)90001-4

zbMATH Keywords

connectionexterior derivativeanomalies in gauge theorycoboundary operator of Lie algebra cohomologycovariant derivative on smooth vector bundlesLie-Cartan pairs

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Anomalies in quantum field theory (81T50) Infinite-dimensional Lie (super)algebras (17B65) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Differential forms in global analysis (58A10) Cohomology of Lie (super)algebras (17B56) Linear and affine connections (53B05)

Related Items (19)

The Einstein action for algebras of matrix valued functions—Toy models ⋮ A differential geometric setting for BRS transformations and anomalies. I ⋮ Graded Lie-Cartan pairs. II: The fermionic differential calculus ⋮ BRST cohomology in classical mechanics ⋮ Graded Lie-Cartan pairs. I ⋮ Graded algebras and geometry based on Yang–Baxter operators ⋮ Analysis on superspace: an overview ⋮ Noncommutative geometry for arbitrary braidings ⋮ HOPF ALGEBRAS IN DYNAMICAL SYSTEMS THEORY ⋮ Generalized Lie-Cartan pairs ⋮ Calculation of BRS cohomology with spectral sequences ⋮ On (co-)morphisms of Lie pseudoalgebras and groupoids ⋮ A general approach to connections: Algebra and geometry ⋮ Algebraic differential calculus for gauge theories. ⋮ Kinematical constraints and algebroids ⋮ Modular lie algebras of cartan type over algebraically non-closed fields.1 ⋮ An algebraic approach to the l i e algebras of cartan type ⋮ Unnamed Item ⋮ Cartan pairs

Cites Work

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