Almost commutative \(Q\)-algebras and derived brackets

DOI10.4171/JNCG/377zbMath1479.81036arXiv1806.02662MaRDI QIDQ2032762

Andrew James Bruce

Publication date: 14 June 2021

Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.02662

zbMATH Keywords

almost commutative algebrasalmost commutative Lie algebroidsalmost commutative non-negatively graded algebrahomological \(p\)-derivations

Mathematics Subject Classification ID

Color Lie (super)algebras (17B75) Noncommutative differential geometry (46L87) Poisson manifolds; Poisson groupoids and algebroids (53D17) Supermanifolds and graded manifolds (58A50) Noncommutative geometry in quantum theory (81R60)

Related Items (1)

Generalized kinematics on \(\rho\)-commutative algebras

Cites Work

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• Noncommutative \(\varepsilon \)-graded connections
• Graded bundles and homogeneity structures
• From Poisson algebras to Gerstenhaber algebras
• Derived brackets
• Deformations of Lie brackets: Cohomological aspects
• Simple graded commutative algebras.
• Multiparametric quantum deformation of the general linear supergroup
• A noncommutative version of Lie algebras: Leibniz algebras
• Lie brackets on affine bundles
• Noncommutative supergeometry and duality
• Graded Lie agebroids of Poisson almost commutative algebras
• \(Q\)-manifolds and Mackenzie theory
• Fields and forms on \(\rho\)-algebras.
• Noncommutative supergeometry, duality and deformations
• Simultaneous deformations of a Lie algebroid and its Lie subalgebroid
• Deformations of linear Lie brackets
• Determinants over graded-commutative algebras, a categorical viewpoint
• On parastatistics
• Higher derived brackets and homotopy algebras
• The Geometry of the Master Equation and Topological Quantum Field Theory
• GRADED POISSON STRUCTURES AND SCHOUTEN–NIJENHUIS BRACKET ON ALMOST COMMUTATIVE ALGEBRAS
• The category of Z2n-supermanifolds
• LEVI–CIVITA CONNECTION ON ALMOST COMMUTATIVE ALGEBRAS
• Generalized Lie algebras
• Sequences of Z2⊗Z2 graded Lie algebras and superalgebras
• Lie algebroids and homological vector fields
• Almost commutative algebra and differential calculus on the quantum hyperplane
• The noncommutative geometry of the quantum Hall effect
• Introduction to graded bundles
• $Q$-manifolds and Higher Analogs of Lie Algebroids

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