Results 71 to 80 of about 1,211 (118)

Reduced contragredient Lie algebras and PC Lie algebras

Osaka Journal of Mathematics, 2016
The first aim of this paper is to show that any finite-dimensional reductive Lie algebra and its finite-dimensional completely reducible representation can be embedded into some PC Lie algebra. The second aim is to find the structure of a PC Lie algebra.
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On the associative algebra structures and left-symmetric algebra structures

四川大学学报. 自然科学版
Using the symmetric linear mappings， the sufficient and necessary conditions on Lie-admissible structures of a Lie algebra to be associative algebra structures and left-symmetric algebra structures are given in this paper， respectively.Some descriptions ...
MAO Zhao-Wei, TAN You-Jun
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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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The Lie algebra admitted by the ternary differential system with nonlinearities of degree six

Acta et Commentationes: Ştiinţe Exacte şi ale Naturii
In this paper, the ternary differential system with nonlinearities of degree six is investigated. For this system, nine Lie operators providing a linear representation of one-parameter elementary groups are determined in the space of phase variables and
Natalia Neagu
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Locally conformal symplectic structures and their generalizations from the point of view of Lie algebroids

Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2004
We study locally conformal symplectic structures and their generalizations from the point of view of transitive Lie algebroids. To consider l.c.s.
Roman Kadobianski, Jan Kubarski
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On algebraic Lie algebras. [PDF]

Journal of the Mathematical Society of Japan, 1948
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Vertex Algebras, Lie Algebras, and Superstrings

Journal of Algebra, 1998
Certain vertex algebras and Lie algebras arising in superstring theory are investigated. We show that the Fock space of a compactified Neveu-Schwarz superstring, i.e. a Neveu-Schwarz superstring moving on a torus, carries the structure of a vertex superalgebra with a Neveu-Schwarz element.
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The Lie Lie algebra

, 2015
Version 3 incorporates several suggestions from the referee. The abstract and introduction have been rewritten to be more user-friendly.
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Lie algebra conjugacy

Electron. Colloquium Comput. Complex., 2011
We study the problem of matrix Lie algebra conjugacy. Lie algebras arise centrally in areas as diverse as differential equations, particle physics, group theory, and the Mulmuley--Sohoni Geometric Complexity Theory program. A matrix Lie algebra is a set L of matrices such that $A, B\in L$ implies $AB - BA \in L$.
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2-Local Derivations on the Twisted Heisenberg–Virasoro Algebra

Advances in Mathematical Physics
2-local derivation is a generalized derivation for a Lie algebra, which plays an important role to the study of local properties of the structure of the Lie algebra.
Yufang Zhao, Yongsheng Cheng
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