A cohomological approach for classifying nilpotent Leibniz algebras

QR Code

A cohomological approach for classifying nilpotent Leibniz algebras

In this paper a cohomological approach (the Skjelbred-Sund method)to classify nilpotent Leibniz algebras in low dimensional cases will be presented. We distinguish six isomorphism classes (one parametric family and five concrete) of three dimensional nilpotent Leibniz algebras and show that they ex...

Full description

Bibliographic Details
Main Authors:	Rakhimov , Isamiddin Sattarovich, Langari, Seyed Jalal
Format:	Article
Language:	English
Published:	Hikari Ltd. 2010
Online Access:	http://psasir.upm.edu.my/id/eprint/12659/ http://psasir.upm.edu.my/id/eprint/12659/1/A%20cohomological%20approach%20for%20classifying%20nilpotent%20Leibniz%20algebras.pdf

Similar Items

Cohomological approach to classify nilpotent Leibniz algebras.
by: Rakhimov , I.S., et al.
Published: (2012)

Classification Of Low Dimensional Nilpotent Leibniz Algebras Using Central Extensions
by: Langari, Seyed Jalal
Published: (2010)

On central extensions of Nulfilioform Leibniz algebras.
by: Sattarovich, Rakhimov Isamiddin, et al.
Published: (2009)

Central Extensions of Nilpotent Lie and Leibniz Algebras
by: Langari, Mouna Bibi
Published: (2010)

Enveloping lie algebras of low dimensional leibniz algebras.
by: Amini, Massoud, et al.
Published: (2011)

On invariants of complex filiform Leibniz algebras
by: Rakhimov, Isamiddin Sattarovich
Published: (2009)

Four-dimensional nilpotent diassociative algebras
by: Basri, Witriany, et al.
Published: (2015)

On filiform Leibniz algebras of dimension nine.
by: Sattarovich, Rakhimov Isamiddin, et al.
Published: (2010)

On contractions and invariants of Leibniz algebras.
by: Sattarovich, Rakhimov Isamiddin, et al.
Published: (2012)

On lie-like filiform Leibniz algebras.
by: Omirov, B. A., et al.
Published: (2009)

On degenerations and invariants of low-dimensional complex nilpotent Leibniz algebras
by: Mohamed, Nurul Shazwani, et al.
Published: (2019)

On degenerations and invariants of low-dimensional complex nilpotent Leibniz algebra
by: Mohamed, Nurul Shazwani, et al.
Published: (2020)

On low-dimensional filiform leibniz algebras and their invariants.
by: Sattarovich, Rakhimov Isamiddin, et al.
Published: (2011)

Classification of three dimensional complex Leibniz algebras
by: Rikhsiboev, Ikrom M., et al.
Published: (2011)

On derivations of low-dimensional complex Leibniz algebras.
by: Sattarovich, Rakhimov Isamiddin, et al.
Published: (2011)

On isomorphisms and invariants of finite dimensional complex filiform Leibniz algebras
by: Sattarovich, Rakhimov Isamiddin, et al.
Published: (2010)

On description of Leibniz algebras corresponding to sl2
by: Omirov, B. A., et al.
Published: (2013)

The classification of 6 dimensional complex filiform Leibniz algebras
by: Said Husain, Sharifah Kartini, et al.
Published: (2009)

Rigidity of some classes of Lie algebras in connection to Leibniz algebras
by: Abdulkareem, Abdulafeez Olalekan, et al.
Published: (2013)

Centroids and derivations of low-dimensional Leibniz algebra
by: Said Husain, Sharifah Kartini, et al.
Published: (2016)

On one-dimensional Leibniz central extension of a filiform lie algebra.
by: Sattarovich, Rakhimov Isamiddin, et al.
Published: (2011)

Description of some classes of Leibniz algebras
by: Rakhimov, Isamiddin Sattarovich, et al.
Published: (2012)

On classification of 5-dimensional solvable Leibniz algebras
by: Khudoyberdiyev, Abror Khakimovich, et al.
Published: (2014)

Cohomology spaces of low dimensional complex associative algebras
by: Mohammed, Nadia F., et al.
Published: (2017)

Isomorphism classes of 10-dimensional filiform Leibniz algebras
by: Mohd Kasim, Suzila, et al.
Published: (2013)

On isomorphism classes of a subclass of filiform Leibniz algebras in dimension 10
by: Mohamed, N. S., et al.
Published: (2013)

On isomorphism classes and invariants of a subclass of low-dimensional complex filiform Leibniz algebras
by: Rakhimov, Isamiddin Sattarovich, et al.
Published: (2011)

Isomorphism classes and invariants of low-dimensional filiform Leibniz algebras
by: Abdulkareem, Abdulafeez Olalekan, et al.
Published: (2015)

Combinatorial structures associated with some classes of Leibniz algebras
by: Said Husain, Sharifah Kartini, et al.
Published: (2016)

Isomorphism classes and invariants for a subclass of nine-dimensional filiform Leibniz algebras
by: Deraman, Fatanah, et al.
Published: (2011)

Classification of a subclass of low-dimensional complex filiform Leibniz algebras.
by: Rakhimov, Isamiddin S., et al.
Published: (2011)

Combinatorial structures associated with low dimensional second class of non-Lie filiform Leibniz algebra
by: Ahmad Jamri, Ayu Ameliatul Shahilah, et al.
Published: (2016)

On classification problem of Loday algebras
by: Sattarovich, Rakhimov Isamiddin
Published: (2016)

On isomorphism criteria for Leibniz central extensions of a linear deformation of mu_n.
by: Sattarovich, Rakhimov Isamiddin, et al.
Published: (2011)

Algorithms for computations of invariants of Loday algebras
by: Rakhimov, Isamiddin Sattarovich
Published: (2009)

Isomorphism classes and invariants of finite dimensional filiform Leibniz algebras
by: Rakhimov, I. S., et al.
Published: (2011)

Derivations of some classes of Leibniz algebras
by: Ahmed I, Al-Nashri Al-Hossain
Published: (2013)

Classification of a subclass of filiform Leibniz algebra
by: Abdulkareem, Abdulafeez Olalekan
Published: (2014)

Diassociative algebras and their derivations
by: Rikhsiboev, Ikrom M., et al.
Published: (2014)

A survey of complex diassociative algebras
by: Basri, Witriany, et al.
Published: (2009)