Results 31 to 40 of about 5,953,085 (343)
Induced 3-Lie algebras, superalgebras and induced representations; pp. 116–133 [PDF]
Proceedings of the Estonian Academy of Sciences, 2020 We construct 3-Lie superalgebras on a commutative superalgebra by means of involution and even degree derivation. We construct a representation of induced 3-Lie algebras and superalgebras by means of a representation of initial (binary) Lie algebra ...
Priit Lätt, Viktor Abramov
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Derivations of finite-dimensional modular Lie superalgebras $ \overline{K}(n, m) $
Electronic Research Archive, 2023 This paper is aimed at determining the derivation superalgebra of modular Lie superalgebra $ \overline{K}(n, m) $. To that end, we first describe the $ \mathbb{Z} $-homogeneous derivations of $ \overline{K}(n, m) $.
Dan Mao, Keli Zheng
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Derivation Requirements on Prime Near-Rings for Commutative Rings
Jurnal Ilmu Dasar, 2019 Near-ring is an extension of ring without having to fulfill a commutative of the addition operations and left distributive of the addition and multiplication operations It has been found that some theorems related to a prime near-rings are commutative ...
Dian Winda Setyawati +2 more
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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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A Cornucopia of Carnot Groups in Low Dimensions
Analysis and Geometry in Metric Spaces, 2022 Stratified groups are those simply connected Lie groups whose Lie algebras admit a derivation for which the eigenspace with eigenvalue 1 is Lie generating.
Le Donne Enrico, Tripaldi Francesca
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Linear Algebra and its Applications, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qi, Xiaofei, Hou, Jinchuan
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A characterization of nilpotent Leibniz algebras
, 2012 W. A. Moens proved that a Lie algebra is nilpotent if and only if it admits an invertible Leibniz-derivation. In this paper we show that with the definition of Leibniz-derivation from W. A.
Fialowski, Alice +2 more
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Structure of Divergence-Free Lie Algebras
, 2000 One of the four well-known series of simple Lie algebras of Cartan type is the series of Lie algebras of Special type, which are divergence-free Lie algebras associated with polynomial algebras and the operators of taking partial derivatives, connected ...
Su, Yucai, Xu, Xiaoping
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Multiple Lie derivatives and forests [PDF]
Advances in Mathematics, 2019 We obtain a complete time expansion of the pull-back operator generated by a real analytic flow of real analytic automorphisms acting on analytic tensor sections of a manifold. Our expansion is given in terms of multiple Lie derivatives. Motivated by this expansion, we provide a rather simple and explicit estimate for higher order covariant derivatives
Hivert, Florent, Pali, Nefton
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Invariants of Lie algebras extended over commutative algebras without unit
, 2018 We establish results about the second cohomology with coefficients in the trivial module, symmetric invariant bilinear forms and derivations of a Lie algebra extended over a commutative associative algebra without unit.
Bajo I. +28 more
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