On classification problem of Loday algebras

QR Code

On classification problem of Loday algebras

This is a survey paper on classification problems of some classes of algebras introduced by Loday around 1990s. In the paper the author intends to review the latest results on classification problem of Loday algebras, achievements have been made up to date, approaches and methods implemented.

Bibliographic Details
Main Author:	Sattarovich, Rakhimov Isamiddin
Other Authors:	Russo, Bernard
Format:	Book Section
Language:	English
Published:	American Mathematical Society 2016
Online Access:	http://psasir.upm.edu.my/id/eprint/44068/ http://psasir.upm.edu.my/id/eprint/44068/1/On%20classification%20problem%20of%20Loday%20algebras.pdf

Similar Items

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

Algorithms for computations of Loday algebras’ invariants
by: Said Husain, Sharifah Kartini, et al.
Published: (2017)

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

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

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

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

Classification of two-dimensional Jordan algebras over R
by: Hussein, Ahmed Houida Mohammed, et al.
Published: (2018)

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

Complete classification of two-dimensional algebras
by: Ahmed, Houida, et al.
Published: (2017)

Classification of two-dimensional Jordan algebras
by: Ahmad, Houida, et al.
Published: (2017)

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

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

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

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

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

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

A cohomological approach for classifying nilpotent Leibniz algebras
by: Rakhimov , Isamiddin Sattarovich, et al.
Published: (2010)

Classification of two-dimensional Jordan algebras over R
by: Bekbaev, Ural, et al.
Published: (2018)

Classification of 3-dimensional complex diassociative algebras
by: Rikhsiboev, Ikrom M., et al.
Published: (2010)

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

On two-dimensional power associative algebras over algebraically closed fields and R
by: Hussein Ahmed, Houida Mohammed, et al.
Published: (2019)

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

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

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

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

On extensions of some classes of algebras
by: Rakhimov, Isamiddin
Published: (2018)

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

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

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

2-Local derivations on finite-dimensional semi-simple Lie algebras
by: Ayupov, Shavkat, et al.
Published: (2015)

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

The description of dendriform algebra structures on two-dimensional complex space
by: M. Rikhsiboev, Ikrom, et al.
Published: (2010)

Algebraic method for independence model of two-way contingency tables
by: Mohammed, Nadia Faiq, et al.
Published: (2017)

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

Contractions of low dimensional complex associative algebras
by: Mohammed, Nadia Faiq, et al.
Published: (2016)

Centroids and derivations of associative algebras
by: Fiidow, Mohamed Abubakar Hagi Mohamed, et al.
Published: (2015)

The automorphism groups and derivation algebras of two-dimensional algebras
by: Houida, Ahmed, et al.
Published: (2018)

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)

Derivations and centroids of four-dimensional associative algebras
by: Abdulkareem, Abdulafeez Olalekan, et al.
Published: (2017)