Pfaffian systems with derived length one. The class of flag systems

Citation
Ma. Canadas-pinedo et C. Ruiz, Pfaffian systems with derived length one. The class of flag systems, T AM MATH S, 353(5), 2001, pp. 1755-1766
Citations number
11
Categorie Soggetti
Mathematics
Journal title
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029947 → ACNP
Volume
353
Issue
5
Year of publication
2001
Pages
1755 - 1766
Database
ISI
SICI code
0002-9947(2001)353:5<1755:PSWDLO>2.0.ZU;2-O
Abstract
The incidence relations between a Pfaffian system and the characteristic sy stem of its first derived system lead to obtain a characterization of Pfaff ian systems with derived length one. Also, for flag systems, several proper ties are studied. In particular, an intrinsic proof of a result which deter mines the class of a system and of all the derived systems is given.