Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:application |
integrable systems
symplectic geometry quantum group theory |
| gptkbp:defines |
Lie group equipped with a Poisson structure such that the group multiplication is a Poisson map
|
| gptkbp:field |
gptkb:mathematics
differential geometry mathematical physics |
| gptkbp:generalizes |
gptkb:Poisson_manifolds
gptkb:Lie_groups |
| https://www.w3.org/2000/01/rdf-schema#label |
Poisson-Lie groups
|
| gptkbp:introduced |
gptkb:Vladimir_Drinfeld
|
| gptkbp:notableExample |
the dual of a Lie group with a standard Poisson structure
|
| gptkbp:property |
the Poisson bracket is compatible with the group structure
|
| gptkbp:relatedTo |
gptkb:Lie_bialgebras
gptkb:Poisson_manifolds gptkb:Lie_groups quantum groups symplectic groupoids |
| gptkbp:studiedIn |
mathematical physics
representation theory |
| gptkbp:bfsParent |
gptkb:Lie_bialgebras
|
| gptkbp:bfsLayer |
8
|