Facebook Instagram Twitter RSS Feed PodBean Back to top on side

On the group sheaf of $\mathcal A$-symplectomorphisms

In: Mathematica Slovaca, vol. 64, no. 4
Patrice P. Ntumba
Detaily:
Rok, strany: 2014, 842 - 858
Kľúčové slová:
convenient $\mathcal A$-module, PID $\mathbb{C}$-algebra sheaf, symplectic Gram-Schmidt theorem, symplectic $\mathcal A$-transvections, symplectic group sheaf, symplectic transvection group sheaf
O článku:
This is a part of a further undertaking to affirm that most of classical module theory may be retrieved in the framework of Abstract Differential Geometry (à la Mallios). More precisely, within this article, we study some defining basic concepts of symplectic geometry on free $\mathcal A$-modules by focussing in particular on the group sheaf of $\mathcal A$-symplectomorphisms, where $\mathcal A$ is assumed to be a torsion-free PID $\mathbb C$-algebra sheaf. The main result arising hereby is that $\mathcal A$-symplectomorphisms locally are products of symplectic transvections, which is a particularly well-behaved counterpart of the classical result.
Ako citovať:
ISO 690:
Ntumba, P. 2014. On the group sheaf of $\mathcal A$-symplectomorphisms. In Mathematica Slovaca, vol. 64, no.4, pp. 842-858. 0139-9918. DOI: https://doi.org/10.2478/s12175-014-0243-5

APA:
Ntumba, P. (2014). On the group sheaf of $\mathcal A$-symplectomorphisms. Mathematica Slovaca, 64(4), 842-858. 0139-9918. DOI: https://doi.org/10.2478/s12175-014-0243-5
O vydaní: