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Projective Double Lie Algebras on a Lie Algebra

1994
The notion of projective double Lie algebras on a Lie algebra g has arisen in connection with certain local Lie loop structures on a Lie group with Lie algebra g. In this article, including semisimple Lie algebras, we are mainly concerned with certain group-graded Lie algebras which are not necessarily finite-dimensional, and we determine their ...
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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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Variational quantum algorithms

Nature Reviews Physics, 2021
Marco Cerezo   +2 more
exaly  

The Embedding of Lie Algebras in Restricted Lie Algebras

Journal of the London Mathematical Society, 1964
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Mixed precision algorithms in numerical linear algebra

Acta Numerica, 2022
Nicholas J Higham, Theo Mary
exaly  

An algebra of observables for de Sitter space

Journal of High Energy Physics, 2023
exaly  

Computer algebra in gravity research

Living Reviews in Relativity, 2018
Malcolm A H Maccallum
exaly  

The Λ-BMS4 charge algebra

Journal of High Energy Physics, 2020
Geoffrey Compère   +2 more
exaly  

Spacetime algebra as a powerful tool for electromagnetism

Physics Reports, 2015
Justin Dressel   +2 more
exaly  

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