Efficiency and security of pre and post quantum cryptographic methods: theory and ...
Graded rings associated to valuations and their relations to tame and deeply r...
Lie groupoids of symmetries and geometric structures on manifolds
| Full text | |
| Author(s): |
Baptistelli, Patricia H.
;
Hernandes, Maria Elenice R.
;
Terezio, Eralcilene Moreira
Total Authors: 3
|
| Document type: | Journal article |
| Source: | RESEARCH IN THE MATHEMATICAL SCIENCES; v. 11, n. 1, p. 14-pg., 2024-03-01. |
| Abstract | |
The purpose of this paper is to present an algebraic theoretical basis for the study of omega-Hamiltonian vector fields defined on a symplectic vector space (V,omega) with respect to coordinates that are not necessarily symplectic. We introduce the concepts of omega-symplectic and omega-semisymplectic groups, and describe some of their properties that may not coincide with the classical context. We show that the Lie algebra of such groups is a useful tool in the recognition and construction of omega-Hamiltonian vector fields. (AU) | |
| FAPESP's process: | 19/21181-0 - New frontiers in Singularity Theory |
| Grantee: | Regilene Delazari dos Santos Oliveira |
| Support Opportunities: | Research Projects - Thematic Grants |