@article{demir_2020, title={Classification of some subclasses of 6-dimensional nilpotent Leibniz algebras}, volume={44}, ISSN={["1303-6149"]}, DOI={10.3906/mat-2002-69}, abstractNote={This article is a contribution to the improvement of classification theory in Leibniz algebras. We extend the method of congruence classes of matrices of bilinear forms that was used to classify complex nilpotent Leibniz algebras with one dimensional derived algebra. In this work we focus on applying this method to the classification of 6−dimensional complex nilpotent Leibniz algebras with two dimensional derived algebra.}, number={5}, journal={TURKISH JOURNAL OF MATHEMATICS}, author={Demir, Ismail}, year={2020}, pages={1925–1940} }
@article{demir_misra_stitzinger_2017, title={On classification of four-dimensional nilpotent Leibniz algebras}, volume={45}, ISSN={["1532-4125"]}, DOI={10.1080/00927872.2016.1172626}, abstractNote={ABSTRACT 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.}, number={3}, journal={COMMUNICATIONS IN ALGEBRA}, author={Demir, Ismail and Misra, Kailash C. and Stitzinger, Ernie}, year={2017}, pages={1012–1018} }
@article{demir_misra_stitzinger_2016, title={Classification of Some Solvable Leibniz Algebras}, volume={19}, ISSN={["1572-9079"]}, DOI={10.1007/s10468-015-9580-5}, abstractNote={Leibniz algebras are certain generalization of Lie algebras. In this paper we give classification of non-Lie solvable (left) Leibniz algebras of dimension ≤ 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 classify these algebras of higher dimensions. We also revisit the classification of three dimensional non-Lie solvable (left) Leibniz algebras.}, number={2}, journal={ALGEBRAS AND REPRESENTATION THEORY}, author={Demir, Ismail and Misra, Kailash C. and Stitzinger, Ernie}, year={2016}, month={Apr}, pages={405–417} }