generalization of Poisson bracket
C23063
concept
A generalization of the Poisson bracket is a bilinear operation on functions (or observables) that extends the classical Poisson structure—often relaxing antisymmetry, the Jacobi identity, or locality—to encompass broader algebraic or geometric frameworks such as Nambu, Gerstenhaber, or higher/derived brackets.
All labels observed (2)
| Label | Occurrences |
|---|---|
| concept in deformation quantization | 1 |
| generalization of Poisson bracket canonical | 1 |
Description generation (CDg)
The one-sentence description above was generated by prompting gpt-5.1 with the class name and this instruction.
Instruction
generate a one-sentence description for a given conceptual class. # Response Format Return only the sentence: "Description: [one-sentence description of the conceptional class]"
Input
Class: generalization of Poisson bracket
Generated description
A generalization of the Poisson bracket is a bilinear operation on functions (or observables) that extends the classical Poisson structure—often relaxing antisymmetry, the Jacobi identity, or locality—to encompass broader algebraic or geometric frameworks such as Nambu, Gerstenhaber, or higher/derived brackets.
Instances (2)
| Instance | Via concept surface |
|---|---|
| Jacobi bracket | — |
| Moyal bracket | concept in deformation quantization |