Results 11 to 20 of about 394 (56)
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. +2 more
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AUTOMORPHISMS OF ELLIPTIC POISSON ALGEBRAS [PDF]
, 2008 . We describe the automorphism groups of elliptic Poisson algebras on poly-nomial algebras in three variables and give an explicit set of generators and definingrelations for this group.
L. Makar-Limanov +2 more
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Biderivations of the higher rank Witt algebra without anti-symmetric condition
Open Mathematics, 2018 The Witt algebra 𝔚d of rank d(≥ 1) is the derivation algebra of Laurent polynomial algebras in d commuting variables. In this paper, all biderivations of 𝔚d without anti-symmetric condition are determined. As an applications, commutative post-Lie algebra
Tang Xiaomin, Yang Yu
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Fixed Point Theory and Applications, 2012 Using fixed point method, we prove the Hyers-Ulam stability and the superstability of generalized quadratic ternary derivations on non-Archimedean ternary Banach algebras.
Choonkill Park, M. Gordji, Y. Cho
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Generalized derivations of Lie triple systems
Open Mathematics, 2016 In this paper, we present some basic properties concerning the derivation algebra Der (T), the quasiderivation algebra QDer (T) and the generalized derivation algebra GDer (T) of a Lie triple system T, with the relationship Der (T) ⊆ QDer (T) ⊆ GDer (T) ⊆
Zhou Jia, Chen Liangyun, Ma Yao
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Lie algebraic characterization of manifolds [PDF]
, 2003 Results on characterization of manifolds in terms of certain Lie algebras growing on them, especially Lie algebras of differential operators, are reviewed and extended.
Grabowski, Janusz, Poncin, Norbert
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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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Superderivation of the hyperbolic subalgebra for pl(m,n,R)
, 2014 Let R be an arbitrary commutative ring with 1, 1/2 ∈ R, pl(m,n,R) the general linear Lie superalgebra over R. The aim of this paper is to give an explicit description of the superderivation algebras of the hyperbolic subalgebra of pl(m,n,R).
Hailing Li, Haijian Cui, Ying Wang
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PRIMITIVE ELEMENTS AND PREIMAGE OF PRIMITIVE SETS OF FREE LIE ALGEBRAS
, 2014 Let F and L be free Lie algebras of finite rank n andm respectively and φ be a homomorphism from F to L. We prove that the preimage of a primitive set of L contains a primitive set of F .
D. Ersalan, Zerrin Esmerligil
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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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