TL;DR
This paper provides an alternative proof of the duality in generalized Lie bialgebroids, introduces morphisms between them, and establishes the uniqueness of the induced Jacobi structure up to such morphisms.
Contribution
It offers a new proof of duality, defines morphisms between generalized Lie bialgebroids, and proves the uniqueness of the associated Jacobi structure.
Findings
Duality of generalized Lie bialgebroids is established with an alternative proof.
A canonical Jacobi structure can be defined on the base of a generalized Lie bialgebroid.
The induced Jacobi structure is unique up to a morphism between generalized Lie bialgebroids.
Abstract
An alternative proof of the duality of generalized Lie bialgebroid is given and proved a canonical Jacobi structure can be defined on the base of it. We also introduce the notion of morphism between generalized Lie bialgebroids and proved that the induced Jacobi structure is unique upto a morphism.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models