Results 31 to 40 of about 124,917 (284)

Klasifikasi Aljabar Lie Forbenius-Quasi Dari Aljabar Lie Filiform Berdimensi ≤ 5

Jambura Journal of Mathematics
In this research, we studied quasi-Frobenius Lie algebras and filiform Lie algebras of dimensions ≤ 5 over real field. The primary objective of this research is to classify the classification of filiform Lie algebras of dimensions ≤ 5 into quasi ...
Putri Nisa Pratiwi, Edi Kurniadi, Firdaniza Firdaniza   +2 more
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Realization of locally extended affine Lie algebras of type $A_1$ [PDF]

Categories and General Algebraic Structures with Applications, 2016
Locally extended affine Lie algebras were introduced by Morita and Yoshii in [J. Algebra 301(1) (2006), 59-81] as a natural generalization of extended affine Lie algebras.
Gholamreza Behboodi
doaj  

Isomorphisms and Derivations in Lie C*-Algebras

Abstract and Applied Analysis, 2007
We investigate isomorphisms between C*-algebras, Lie C*-algebras, and JC*-algebras, and derivations on C*-algebras, Lie C*-algebras, and JC*-algebras associated with the Cauchy–Jensen functional equation 2f((x+y/2)+z)=f(x)+f(y)+2f(z).
Choonkil Park, Jong Su An, Jianlian Cui
doaj   +1 more source

Hom-Lie color algebra structures

, 2010
This paper introduces the notion of Hom-Lie color algebra, which is a natural general- ization of Hom-Lie (super)algebras. Hom-Lie color algebras include also as special cases Lie (super) algebras and Lie color algebras.
Aizawa N., Albert A. A., Ammar F., Chaichian M., Chaichian M., Chaichian M., Goze M., Hartwig J. T., Lamei Yuan, Larsson D., Liu K., Makhlouf A., Myung H. C., Myung H. C., Scheunert M., Zhou J.   +15 more
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Anyonic lie algebras [PDF]

Czechoslovak Journal of Physics, 1997
We introduce anyonic Lie algebras in terms of structure constants. We provide the simplest examples and formulate some open problems.
openaire   +3 more sources

Leibniz Algebras and Lie Algebras [PDF]

Symmetry, Integrability and Geometry: Methods and Applications, 2013
This paper concerns the algebraic structure of finite-dimensional complex Leibniz algebras. In particular, we introduce left central and symmetric Leibniz algebras, and study the poset of Lie subalgebras using an associative bilinear pairing taking values in the Leibniz kernel.
Mason, G., Yamskulna, G.
openaire   +5 more sources

Representations of hom-Lie algebras [PDF]

, 2012
In this paper, we study representations of hom-Lie algebras. In particular, the adjoint representation and the trivial representation of hom-Lie algebras are studied in detail.
A Makhlouf, A Makhlouf, C Chevalley, D Larsson, D Larsson, D Yau, D Yau, D Yau, I Dorfman, J Hartwig, N Jacobson, Y Sheng, Yunhe Sheng   +12 more
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Cohomology and Crossed Modules of Modified Rota–Baxter Pre-Lie Algebras

Mathematics
The goal of the present paper is to provide a cohomology theory and crossed modules of modified Rota–Baxter pre-Lie algebras. We introduce the notion of a modified Rota–Baxter pre-Lie algebra and its bimodule.
Fuyang Zhu, Wen Teng
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Lie algebras whose Lie groups have negative sectional curvature

Revista Integración, 2022
The aim of this work is to completely describe two families of Lie algebras whose Lie groups have negative sectional curvature. The first family consists of Lie algebras satisfying the following property: given any two vectors in the Lie algebra, the ...
Gil Salgado
doaj  

Examples of Lie and Balinsky-Novikov algebras related to Hamiltonian operators

Topological Algebra and its Applications, 2018
We study algebraic properties of Poisson brackets on non-associative non-commutative algebras, compatible with their multiplicative structure. Special attention is paid to the Poisson brackets of the Lie-Poisson type, related with the special Lie ...
Artemovych Orest D., Prykarpatski Anatolij K., Blackmore Denis L.   +2 more
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