Ismail DemirUsak Üniversitesi · Department of Mathematics
Ismail Demir
PhD
About
7
Publications
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Introduction
Dr. Ismail Demir works on generalization of Lie algebras, especially Leibniz algebras focusing on the problem of classification of Leibniz algebras.
Additional affiliations
January 2013 - December 2016
Education
January 2013 - December 2016
January 2011 - December 2012
September 2004 - June 2009
Publications
Publications (7)
Leibniz algebras are certain generalization of Lie algebras. In this paper we
survey the important results in Leibniz algebras which are analogs of
corresponding results in Lie algebras. In particular we highlight the
differences between Leibniz algebras and Lie algebras.
Leibniz algebras are certain generalization of Lie algebras. In this paper we give the classification of $5-$dimensional complex non-Lie nilpotent Leibniz algebras. We use the canonical forms for the congruence classes of matrices of bilinear forms to classify the case $\dim(A^2)=3$ and $\dim(Leib(A))=1$ which can be applied to higher dimensions. T...
Leibniz algebras are certain generalization of Lie algebras. In this paper we
give the classification of four dimensional non-Lie nilpotent Leibniz algebras.
We use the canonical forms for the congruence classes of matrices of bilinear
forms and some other techniques to obtain our result.
Leibniz algebras are certain generalization of Lie algebras. In this paper we
give classification of non-Lie solvable (left) Leibniz algebras of dimension
$\leq 8$ with one dimensional derived subalgebra. We use the canonical forms
for the congruence classes of matrices of bilinear forms to obtain our result.
Our approach can easily be extended to...
