Results 11 to 20 of about 1,839,875 (302)
Deformations of the three-dimensional Lie algebra sl(2)
Қарағанды университетінің хабаршысы. Математика сериясы, 2020 Deformation is one of key questions of the structural theory of algebras over a field. Especially, it plays a important role in the classification of such algebras.
A.A. Ibrayeva +2 more
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On Isoclinic Extensions of Lie Algebras and Nilpotent Lie Algebras
Discussiones Mathematicae - General Algebra and Applications, 2021 In this paper, we present the concept of isoclinism of Lie algebras and its relationship to the Schur multiplier of Lie algebras. Moreover, we prove some properties of a pair of nilpotent Lie algebras.
Arabyani Homayoon +1 more
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Biderivations of finite-dimensional complex simple Lie algebras [PDF]
, 2016 In this paper, we prove that a biderivation of a finite-dimensional complex simple Lie algebra without the restriction of being skewsymmetric is an inner biderivation. As an application, the biderivation of a general linear Lie algebra is presented.
Xiaomin Tang
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Elementary Lie algebras and Lie A-algebras
Journal of Algebra, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Towers, David A., Varea, Vicente R.
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Novikov structures on solvable Lie algebras [PDF]
, 2005 We study Novikov algebras and Novikov structures on finite-dimensional Lie algebras. We show that a Lie algebra admitting a Novikov structure must be solvable.
Bakalov +14 more
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BiHom-associative algebras, BiHom-Lie algebras and BiHom-bialgebras [PDF]
, 2015 A BiHom-associative algebra is a (nonassociative) algebra A endowed with two commuting multiplicative linear maps α,β : A → A such that α(a)(bc) = (ab)β(c), for all a,b,c ∈ A. This concept arose in the study of algebras in so-called group Hom-categories.
G. Graziani +3 more
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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.
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Extensions of realisations for low-dimensional Lie algebras
SciPost Physics Proceedings, 2023 We find extensions of realisations of some low-dimensional Lie algebras, in particular, for the Poincaré algebra for one space dimension. Using inequivalent extensions, we performed comprehensive classification of relative differential invariants for ...
Iryna Yehorchenko
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Metric Lie 3-algebras in Bagger-Lambert theory [PDF]
, 2008 We recast physical properties of the Bagger-Lambert theory, such as shift-symmetry and decoupling of ghosts, the absence of scale and parity invariance, in Lie 3-algebraic terms, thus motivating the study of metric Lie 3-algebras and their Lie algebras ...
de Medeiros, Paul +2 more
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Differential algebraic Lie algebras [PDF]
Transactions of the American Mathematical Society, 1979 A class of infinite-dimensional Lie algebras over the field K \mathcal {K} of constants of a universal differential field U \mathcal {U} is studied. The simplest case, defined by homogeneous linear differential equations, is analyzed in detail, and those with underlying set
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