Characteristically nilpotent Lie algebras and symplectic structures
Dietrich Burde
Abstract
We study symplectic structures on characteristically nilpotent Lie algebras (CNLAs) by computing the cohomology space H2(,k) for certain Lie algebras . Among these Lie algebras are filiform CNLAs of dimension n 14. It turns out that there are many examples of CNLAs which admit a symplectic structure. A generalization of a sympletic structure is an affine structure on a Lie algebra.
Create a lesson
Related papers
Existence of a positive hyperbolic orbit in three-dimensional Reeb flows
Taisuke Shibata
Symplectic Yang-Mills Theory
Jonathan Delgado, Li-Sheng Tseng, Jiawei Zhou
Moment Lagrangians, unobstructedness and symplectic groupoids
Yan-Lung Leon Li
The First Correction Term in the Asymptotic Expansion of Bohr--Sommerfeld Lagrangian States
Yusaku Tiba
Extended Future Tube Conjecture for Unipotent Subgroups
Maxim Kukol
Shifted Contact Structures on Exact Symplectic Fibrations
Mehmet Fırat Arıkan, Kadri İlker Berktav, Efe İzbudak