On the group sheaf of A-symplectomorphisms
| dc.contributor.author | Ntumba, Patrice P. | |
| dc.contributor.email | patrice.ntumba@up.ac.za | en_ZA |
| dc.date.accessioned | 2015-09-28T09:39:05Z | |
| dc.date.available | 2015-09-28T09:39:05Z | |
| dc.date.issued | 2014-04 | |
| dc.description.abstract | 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 (`a la Mallios). More precisely, within this article, we study some defining basic concepts of symplectic geometry on free A-modules by focussing in particular on the group sheaf of A-symplectomorphisms, where A is assumed to be a torsion-free PID C-algebra sheaf. The main result arising hereby is that A-symplectomorphisms locally are products of symplectic transvections, which is a particularly well-behaved counterpart of the classical result. | en_ZA |
| dc.description.librarian | hb2015 | en_ZA |
| dc.description.uri | http://link.springer.com/journal/12175 | en_ZA |
| dc.identifier.citation | Ntumba, PP 2014, 'On the group sheaf of A-symplectomorphisms', Mathematica Slovaca, vol. 64, no. 4, pp. 843-858. | en_ZA |
| dc.identifier.issn | 0139-9918 (print) | |
| dc.identifier.issn | 1337-2211 (online) | |
| dc.identifier.other | 10.2478/s12175-014-0243-5 | |
| dc.identifier.uri | http://hdl.handle.net/2263/50066 | |
| dc.language.iso | en | en_ZA |
| dc.publisher | Springer | en_ZA |
| dc.rights | © 2014 Mathematical Institute Slovak Academy of Sciences. The original publication is available at : http://link.springer.comjournal/12175. | en_ZA |
| dc.subject | Convenient A-module | en_ZA |
| dc.subject | PID C-algebra sheaf | en_ZA |
| dc.subject | Symplectic Gram-Schmidt theorem | en_ZA |
| dc.subject | Symplectic A-transvections | en_ZA |
| dc.subject | Symplectic group sheaf | en_ZA |
| dc.subject | Symplectic transvection group sheaf | en_ZA |
| dc.title | On the group sheaf of A-symplectomorphisms | en_ZA |
| dc.type | Postprint Article | en_ZA |