Results 21 to 30 of about 5,953,085 (343)
Additive Lie (ξ-Lie) derivations and generalized Lie (ξ-Lie) derivations on prime algebras
Acta Mathematica Sinica, English Series, 2012 Comment: 11 ...
Qi, Xiao Fei, Hou, Jin Chuan
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Triple Derivations and Triple Homomorphisms of Perfect Lie Superalgebras [PDF]
, 2016 In this paper, we study triple derivations and triple homomorphisms of perfect Lie superalgebras over a commutative ring $R$. It is proved that, if the base ring contains $\frac{1}{2}$, $L$ is a perfect Lie superalgebra with zero center, then every ...
Chen, Liangyun, Ma, Yao, Zhou, Jia
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Abelianizations of derivation Lie algebras of the free associative algebra and the free Lie algebra [PDF]
, 2011 We determine the abelianizations of the following three kinds of graded Lie algebras in certain stable ranges: derivations of the free associative algebra, derivations of the free Lie algebra and symplectic derivations of the free associative algebra. In
S. Morita +2 more
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Maps on $ C^\ast $-algebras are skew Lie triple derivations or homomorphisms at one point
AIMS Mathematics, 2023 In this paper, we show that every continuous linear map between unital $ C^\ast $-algebras is skew Lie triple derivable at the identity is a $ \ast $-derivation and that every continuous linear map between unital $ C^\ast $-algebras which is a skew Lie ...
Zhonghua Wang, Xiuhai Fei
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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 +12 more
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Induced 3-Hom-Lie superalgebras
Electronic Research Archive, 2023 We construct 3-Hom-Lie superalgebras on a commutative Hom-superalgebra by means of involution and even degree derivation. We construct a representation of induced 3-Hom-Lie superalgebras by means of supertrace.
Baoling Guan, Xinxin Tian, Lijun Tian
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On the derivation algebra of the free Lie algebra and trace maps [PDF]
, 2010 We mainly study the derivation algebra of the free Lie algebra and the Chen Lie algebra generated by the abelianization H of a free group, and trace maps.
Naoya Enomoto, T. Satoh
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Abstract Derivation and Lie Algebras [PDF]
Transactions of the American Mathematical Society, 1937 N. Jacobson
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On Properties of the (2n+1)-Dimensional Heisenberg Lie Algebra
JTAM (Jurnal Teori dan Aplikasi Matematika), 2020 In the present paper, we study some properties of the Heisenberg Lie algebra of dimension . The main purpose of this research is to construct a real Frobenius Lie algebra from the Heisenberg Lie algebra of dimension .
Edi Kurniadi
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On Equality of Certain Derivations of Lie Algebras
Discussiones Mathematicae - General Algebra and Applications, 2019 Let L be a Lie algebra. A derivation α of L is a commuting derivation (central derivation), if α (x) ∈ CL (x) (α (x) ∈ Z (L)) for each x ∈ L. We denote the set of all commuting derivations (central derivations) by 𝒟 (L) (Derz (L)).
Amiri Azita +2 more
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