Enveloping lie algebras of low dimensional leibniz algebras. by Amini, Massoud, Sattarovich, Rakhimov Isamiddin, Langari, Seyed Jalal

“…We calculate the enveloping Lie algebras of Leibniz algebras of dimensions two and three. …”
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Rigidity of some classes of Lie algebras in connection to Leibniz algebras by Abdulkareem, Abdulafeez Olalekan, Rakhimov, Isamiddin Sattarovich, Said Husain, Sharifah Kartini

“…We deal with Leibniz algebras which are generalizations of Lie algebras. In Lie algebras case, there are different kind of rigidities (rigidity, absolutely rigidity, geometric rigidity, e.t.c.). …”
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On one-dimensional Leibniz central extension of a filiform lie algebra. by Sattarovich, Rakhimov Isamiddin, Hassan, Munther A.

“…The paper deals with the classification of Leibniz central extensions of a filiform Lie algebra. We choose a basis with respect to which the multiplication table has a simple form. …”

2-Local derivations on finite-dimensional semi-simple Lie algebras by Ayupov, Shavkat, Kudaybergenov, Karimbergen, Sattarovich, Rakhimov Isamiddin

“…We prove that every 2-local derivation on a finite-dimensional semi-simple Lie algebra L over an algebraically closed field of characteristic zero is a derivation. …”
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Degenerations of low-dimensional complex Liebniz algebras by Mohamed, Nurul Shazwani

Subjects: “…Lie algebras…”
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Classification of second-class 10-dimensional complex filiform Leibniz algebras by Mohd Kasim, Suzila

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Classification of non-lie complex filiform Leibniz algebras for low dimensions by Said Husain, Sharifah Kartini

Subjects: “…Lie algebras - Case studies…”
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Classification Of First Class 9-Dimensional Complex Filiform Leibniz Algebras by Obaiys, Sozan J.

Subjects: “…Lie algebras - Case studies…”
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Central Extensions of Nilpotent Lie and Leibniz Algebras by Langari, Mouna Bibi

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Classification Of Low Dimensional Nilpotent Leibniz Algebras Using Central Extensions by Langari, Seyed Jalal

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Classification and derivations of low-dimensional complex dialgebras by Basri, Witriany

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Central extension of low dimensional associative and Leibniz algebras by Ab Rahman, Nurnazhifa

“…The cyclic cohomology was somehow related to Lie algebra homology. Chevalley-Eilenberg chain complex that included in Lie algebras which the exterior powers of the Lie algebra was involved. …”
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Algebraic representation of three qubit quantum circuit problems by Chew, K. Y., Shah, N. M., Chan, K. T.

“…To carry out such a study, mathematical tools such as the Lie group and their associated Lie algebra is of great importance. In this study, the Lie algebra of su(8) is represented in a tensor product operation between three Pauli matrices. …”
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On isomorphism criteria for Leibniz central extensions of a linear deformation of mu_n. by Sattarovich, Rakhimov Isamiddin, Hassan, Munther A.

“…This paper deals with the classification problems of Leibniz central extensions of linear deformations of a Lie algebra. It is known that any n-dimensional filiform Lie algebra can be represented as a linear deformation of n-dimensional filiform Lie algebra μ n given by the brackets [e i, e 0] = e i+1, i = 0,1,⋯,n-2, in a basis {e 0, e 1,⋯,e n-1}. …”
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FONDASI MATEMATIS TEORI TERA: KAJIAN TENTANG UNTINGAN SERAT, KONEKSI DAN KELENGKUNGAN by , LALU MUHAMMAD ABDI ZAMAKHSYARI, , Dr.rer.nat. Muhammad Farchani Rosyid

“…After that, connection is interpreted as Lie algebra-valued 1-form on principal fiber bundle to get the local picture of connection in base manifold. …”

Canonical groups for quantization on the two-dimensional sphere and one-dimensional complex projective space by Ahamad Sumadi, Ahmad Hazazi, Zainuddin, Hishamuddin

“…We explicitly show that the Lie algebra structures of both canonical groups are locally homomorphic. …”
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On description of Leibniz algebras corresponding to sl2 by Omirov, B. A., Rakhimov, Isamiddin Sattarovich, Turdibaev, R.

“…In this paper we describe finite-dimensional complex Leibniz algebras whose quotient algebra with respect to the ideal I generated by squares is isomorphic to the simple Lie algebra sl2. It is shown that the number of isomorphism classes such of Leibniz algebras coincides with the number of partitions of dim I.…”

On central extensions of associative dialgebras by Rakhimov, Isamiddin S.

“…In 1978 Skjelbred and Sund reduced the classification of nilpotent Lie algebras in a given dimension to the study of orbits under the action of automorphism group on the space of second degree cohomology of a smaller Lie algebra with coefficients in a trivial module. …”
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Description of some classes of Leibniz algebras by Rakhimov, Isamiddin Sattarovich, Rikhsiboev, Ikrom Mirzarustamovich, Khudoyberdiyev, Abror Khakimovich, Karimjanov, Ikboljon Abdulazizovich

“…In this paper we describe the isomorphism classes of finite-dimensional complex Leibniz algebras whose quotient algebra with respect to the ideal generated by squares is isomorphic to the direct sum of three-dimensional simple Lie algebra sl2 and a three-dimensional solvable ideal. …”
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On isomorphism classes and invariants of a subclass of low-dimensional complex filiform Leibniz algebras by Rakhimov, Isamiddin Sattarovich, Said Husain, Sharifah Kartini

“…The first source is a naturally graded non-Lie filiform Leibniz algebra, and another one is a naturally graded filiform Lie algebra. In this article, we classify a subclass of the class of filiform Leibniz algebras appearing from the naturally graded non-Lie filiform Leibniz algebra. …”
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