GRADED POISSON STRUCTURES AND SCHOUTEN–NIJENHUIS BRACKET ON ALMOST COMMUTATIVE ALGEBRAS

DOI10.1142/S0219887812500429zbMath1257.81041MaRDI QIDQ2920429

Ferdinand Ngakeu

Publication date: 16 October 2012

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

zbMATH Keywords

almost commutative algebras\(\rho \)-graded Jacobi anomaly\(\rho \)-graded Leibniz bracket\(\rho \)-graded Poisson structures\(\rho \)-graded Schouten-Nijenhuis bracket\(\rho \)-graded symplectic structure

Mathematics Subject Classification ID

Color Lie (super)algebras (17B75) Poisson manifolds; Poisson groupoids and algebroids (53D17) Noncommutative geometry in quantum theory (81R60) Poisson algebras (17B63) Multilinear algebra, tensor calculus (15A69)

Related Items (3)

Riemannian geometry on Hom-\(\rho\)-commutative algebras ⋮ Poisson color algebras of arbitrary degree ⋮ Almost commutative \(Q\)-algebras and derived brackets

Cites Work

• Color Lie algebras and Lie algebras of order \(F\)
• Colour calculus and colour quantizations
• LEVI–CIVITA CONNECTION ON ALMOST COMMUTATIVE ALGEBRAS
• Generalized Lie algebras
• The Z2-graded Schouten–Nijenhuis bracket and generalized super-Poisson structures
• Universal homogeneous derivations of graded ϵ-commutative algebras

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