Results 31 to 40 of about 26,022 (315)
Embedding of a Lie algebra into Lie-admissible algebras [PDF]
Proceedings of the American Mathematical Society, 1979 Let A be a flexible Lie-admissible algebra over a field of characteristic ≠ \ne 2, 3. Let S be a finite-dimensional classical Lie subalgebra of A − {A^ - } which is complemented by an ideal R of A − {A^ - } .
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Post-Lie Algebra Structures on the Lie Algebra gl(2,C)
Abstract and Applied Analysis, 2013 The post-Lie algebra is an enriched structure of the Lie algebra. We give a complete classification of post-Lie algebra structures on the Lie algebra gl(2,C) up to isomorphism.
Yuqiu Sheng, Xiaomin Tang
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LIE ALGEBRA PREDERIVATIONS AND STRONGLY NILPOTENT LIE ALGEBRAS [PDF]
Communications in Algebra, 2002 We study Lie algebra prederivations. A Lie algebra admitting a non-singular prederivation is nilpotent. We classify filiform Lie algebras admitting a non-singular prederivation but no non-singular derivation. We prove that any 4-step nilpotent Lie algebra admits a non-singular prederivation.
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Lie Bialgebras on the Rank Two Heisenberg–Virasoro Algebra
Mathematics, 2023 The rank two Heisenberg–Virasoro algebra can be viewed as a generalization of the twisted Heisenberg–Virasoro algebra. Lie bialgebras play an important role in searching for solutions of quantum Yang–Baxter equations.
Yihong Su, Xue Chen
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Nilpotent Lie algebras of derivations with the center of small corank
Karpatsʹkì Matematičnì Publìkacìï, 2020 Let $\mathbb K$ be a field of characteristic zero, $A$ be an integral domain over $\mathbb K$ with the field of fractions $R=Frac(A),$ and $Der_{\mathbb K}A$ be the Lie algebra of all $\mathbb K$-derivations on $A$. Let $W(A):=RDer_{\mathbb K} A$ and $L$
Y.Y. Chapovskyi +2 more
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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.
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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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Struktur Simplektik pada Aljabar Lie Affine aff(2,R)
Jambura Journal of MathematicsIn this research, we studied the affine Lie algebra aff(2,R). The aim of this research is to determine the 1-form in affine Lie algebra aff(2,R) which is associated with its symplectic structure so that affine Lie algebra aff(2,R) is a Frobenius Lie ...
Aurillya Queency +2 more
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On the Lie enveloping algebra of a post-Lie algebra
, 2014 25 ...
Ebrahimi-Fard, Kurusch +2 more
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Hom-structures on semi-simple Lie algebras
Open Mathematics, 2015 A Hom-structure on a Lie algebra (g,[,]) is a linear map σ W g σ g which satisfies the Hom-Jacobi identity: [σ(x), [y,z]] + [σ(y), [z,x]] + [σ(z),[x,y]] = 0 for all x; y; z ∈ g. A Hom-structure is referred to as multiplicative if it is also a Lie algebra
Xie Wenjuan, Jin Quanqin, Liu Wende
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