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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.
openaire   +1 more source

The Embedding of Lie Algebras in Restricted Lie Algebras

Journal of the London Mathematical Society, 1964
openaire   +1 more source

Representations of Hom-Lie Algebras

Algebras and Representation Theory, 2011
Yunhe Sheng, Sheng Yunhe
exaly  

Deformations of Lie algebras using σ-derivations

Journal of Algebra, 2006
Jonas T Hartwig, Sergei Silvestrov
exaly  

Trigonometric Lie algebras, affine Lie algebras, and vertex algebras

Advances in Mathematics, 2020
Haisheng Li, Qing Wang
exaly  

On Hom–Lie algebras

Linear and Multilinear Algebra, 2015
Yunhe Sheng, Zhen Xiong
exaly  

Infinite‐dimensional algebras and a trigonometric basis for the classical Lie algebras

Journal of Mathematical Physics, 1990
D B Fairlie   +2 more
exaly  

On Post-Lie Algebras, Lie–Butcher Series and Moving Frames

Foundations of Computational Mathematics, 2013
Hans Z Munthe-Kaas, Astri J Lundervold
exaly  

Solvable Lie Algebras with Quasifiliform Nilradicals

Communications in Algebra, 2008
Shaoqiang Deng
exaly  

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