Results 91 to 100 of about 1,211 (118)

The Lie algebra of derivations of a current Lie algebra

Communications in Algebra, 2019
Let K be a field of characteristic zero, g be a finite dimensional K-Lie algebra and let A be a finite dimensional associative and commutative K-algebra with unit.
Ochoa Arango, Jesús Alonso, Rojas, Nadina Elizabeth   +1 more
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Invariant Lie Algebras and Lie Algebras with a Small Centroid

Algebra and Logic, 2001
Let \(R\) be an algebra, \(\Gamma(R)\) be its centroid and \(A(R):=\{\phi\in\Gamma(R):\phi R\subseteq \text{Ann}(R)\}\). \(\Gamma(R)\) is called small if, for some decomposition of \(R\) into a finite direct sum of directly indecomposable algebras \(R_i\), the factors \(\Gamma(R_i)/A(R_i)\) are fields. Generalizing the result of \textit{D. J. Melville}
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Lie Algebras and Lie Algebra Representations

2017
In this chapter, we will introduce Lie algebras and Lie algebra representations, which provide a tractable linear construction that captures much of the behavior of Lie groups and Lie group representations.
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Finite Presentations of Lie Algebras And Restricted Lie Algebras

Bulletin of the London Mathematical Society, 1996
The author proves a version of the Golod-Shafarevich theorem for a large class of Lie algebras, including all finite-dimensional and all soluble Lie algebras. Specifically, suppose that \(L\) is a finite-dimensional or soluble Lie algebra over a field \(k\) which has a presentation with \(n\) generators and \(r\) relations.
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BUNDLES OF LIE ALGEBRAS

International Journal of Geometric Methods in Modern Physics, 2013
In this paper, a complete classification of completely irreducible closed linear bundles of Lie algebras is given. We also apply the so-called "Raïs formula" to compute the index of each of the Lie bundles of square matrices.
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Algebraic Lie Algebras

The Annals of Mathematics, 1947
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Nilpotent Lie Algebras and Solvable Lie Algebras

1987
The Lie algebras considered in this chapter are finite-dimensional algebras over a field k. In Sees. 7 and 8 we assume that k has characteristic 0. The Lie bracket of x and y is denoted by [x, y], and the map y → [x, y] by ad x.
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The Embedding of Lie Algebras in Restricted Lie Algebras

Journal of the London Mathematical Society, 1964
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The Homology of the Lamplighter Lie Algebra

Algebra and Logic, 2022
Y Felix
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Conformal biderivations of loop W(a, b) Lie conformal algebra

Frontiers of Mathematics, 2021
Lamei Yuan, Liangyun Chen, Chen Liangyun   +2 more
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