Graded Poisson Algebras

Abstract

This note is an expanded and updated version of our entry with the same title for the 2006 Encyclopedia of Mathematical Physics. We give a brief overview of graded Poisson algebras, their main properties and their main applications, in the contexts of super differentiable and of derived algebraic geometry.

13 pages. Some corrections. Some references added and some updated

References in corpus (2)

• Gauge Invariance in Field Theory and Statistical Physics in Operator Formalism
• Shifted Poisson structures on differentiable stacks

Cited by in corpus (9)

• Higher Spin Gravities and Presymplectic AKSZ Models
• Deformed graded Poisson structures, Generalized Geometry and Supergravity
• BFV-complex and higher homotopy structures
• Secondary products in supersymmetric field theory
• Ruelle zeta function from field theory
• Stability of fixed points in Poisson geometry and higher Lie theory
• BiHom-Poisson color algebras
• BD algebras and group cohomology
• Deformation Quantization for Supermanifolds via Gelfand-Kazhdan Descent