Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1894768 | Journal of Geometry and Physics | 2014 | 15 Pages |
Abstract
In the present paper we describe infinitesimal deformations of complex naturally graded filiform Leibniz algebras. It is known that any n-dimensional filiform Lie algebra can be obtained by a linear integrable deformation of the naturally graded algebra Fn3(0). We establish that in the same way any n-dimensional filiform Leibniz algebra can be obtained by an infinitesimal deformation of the filiform Leibniz algebras Fn1,Fn2 and Fn3(α). Moreover, we describe the linear integrable deformations of the above-mentioned algebras with a fixed basis of HL2 in the set of all n-dimensional Leibniz algebras. Among these deformations one new rigid algebra has been found.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
A.Kh. Khudoyberdiyev, B.A. Omirov,