Lie algebras and cotriangular spaces

Onderzoeksoutput: Bijdrage aan tijdschriftTijdschriftartikelAcademicpeer review

3 Citaten (Scopus)
1 Downloads (Pure)


Let p (P,L) be a partial linear space in which any line contains three points and let K be a field. Then by LK(p) we denote the free K-algebra generated by the elements of P and subject to the relations xy = 0 if x and y are noncollinear elements from P and xy = z for any triple {x, y, z} ¿ L. We prove that the algebra LK(p) is a Lie algebra if and only if K is of even characteristic and p is a cotriangular space satisfying Pasch’s axiom. Moreover, if p is a cotriangular space satisfying Pasch’s axiom, then a connection between derivations of the Lie algebra LK(p) and geometric hyperplanes of p is used to determine the structure of the algebra of derivations of LK(p).
Originele taal-2Engels
Pagina's (van-tot)209-221
TijdschriftBulletin of the Belgian Mathematical Society : Simon Stevin
Nummer van het tijdschrift2
StatusGepubliceerd - 2005


Duik in de onderzoeksthema's van 'Lie algebras and cotriangular spaces'. Samen vormen ze een unieke vingerafdruk.

Citeer dit