Mathematics and Statistics Vol. 4(3), pp. 71 - 75
DOI: 10.13189/ms.2016.040301
Reprint (PDF) (235Kb)

A Presentation of the Free Lie Algebra M2,m,3

GÜlistan Kaya GÖk *
Department of Mathematics Education, Faculty of Education, Hakkari University, Turkey


Let M2,m,3 be a free solvable nilpotent Lie algebra of rank 2 and nilpotency class m - 1. We show that M2,m,3 admits a minimal presentation whose set of defining relators consists of certain types of basic commutators using techniques in Gröbner-Shirshov basis theory.

Free Lie Algebra, Presentation, Gröbner Basis

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] GÜlistan Kaya GÖk , "A Presentation of the Free Lie Algebra M2,m,3," Mathematics and Statistics, Vol. 4, No. 3, pp. 71 - 75, 2016. DOI: 10.13189/ms.2016.040301.

(b). APA Format:
GÜlistan Kaya GÖk (2016). A Presentation of the Free Lie Algebra M2,m,3. Mathematics and Statistics, 4(3), 71 - 75. DOI: 10.13189/ms.2016.040301.