Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:algebra
|
| gptkbp:application |
gptkb:Poisson-Lie_groups
integrable systems quantization |
| gptkbp:category |
bialgebra
|
| gptkbp:defines |
A Lie bialgebra is a Lie algebra equipped with a compatible Lie cobracket.
|
| gptkbp:field |
gptkb:Lie_theory
gptkb:algebra gptkb:mathematics |
| gptkbp:generalizes |
gptkb:Lie_algebras
Lie coalgebras |
| https://www.w3.org/2000/01/rdf-schema#label |
Lie bialgebras
|
| gptkbp:introduced |
gptkb:Vladimir_Drinfeld
|
| gptkbp:introducedIn |
1983
|
| gptkbp:property |
The dual of a Lie bialgebra is also a Lie bialgebra.
The cobracket is a 1-cocycle with respect to the adjoint representation. |
| gptkbp:relatedTo |
gptkb:Hopf_algebras
gptkb:Lie_algebras quantum groups |
| gptkbp:bfsParent |
gptkb:Poisson_manifold
gptkb:Yvette_Kosmann-Schwarzbach |
| gptkbp:bfsLayer |
7
|