Classification Of Low Dimensional Nilpotent Leibniz Algebras Using Central Extensions

• Main Author: Langari, Seyed Jalal
• Format: Thesis
• Language: English; English
• Published: 2010
• Online Access: http://psasir.upm.edu.my/id/eprint/12373/1/IPM_2010_3A.pdf; http://psasir.upm.edu.my/id/eprint/12373/

This thesis is concerned with the classification of low dimensional nilpotent Leibniz algebras by central extensions over complex numbers. Leibniz algebras introduced by J.-L. Loday (1993) are non-antisymmetric generalizations of Lie algebras. There is a cohomology theory for these algebraic obje...