Search Results - "Lie algebra"

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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Colour-kinematics duality and the Drinfeld double of the Lie algebra of diffeomorphisms by Fu, Chih-Hao, Krasnov, Kirill

“…We show that there is indeed a Lie algebra behind the YM Feynman rules. The Lie algebra we uncover is the Drinfeld double of the Lie algebra of vector fields. …”
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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. …”
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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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Transposed poisson structures on low dimensional quasi-filiform Lie Algebras of maximum length by Sapar, Siti Hasana, Saydaliyev, Azamat, Deraman, Fatanah, Abdurasulov, K.

“…The article first computes 1/2 -derivations of five and six dimensional quasi-filiform Lie algebras of maximum length. Then, it constructs non-trivial transposed Poisson algebras using these 1/2 -derivations of quasi-filiform Lie algebras of maximum length. …”
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Classification of second-class 10-dimensional complex filiform Leibniz algebras by Mohd Kasim, Suzila

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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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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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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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Aspects of self-dual Yang-Mills and self-dual gravity by Chattopadhyay, Pratik

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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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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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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 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.…”
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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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Mapping spaces and automorphism groups of toric noncommutative spaces by Barnes, Gwendolyn E., Schenkel, Alexander, Szabo, Richard J.

“…As an application we study the 'internalized' automorphism group of a toric noncommutative space and show that its Lie algebra has an elementary description in terms of braided derivations.…”
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