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Projective Lie Algebra of the Lorentz Group and Homographic Transformations

机译：洛伦兹群的射影李代数与同素变换

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摘要

The Lorentz group is used as the group of homographic transformations on the Riemann sphere. Its Lie algebra is shown to have a very simple interpretation with the aid of cross products and constellation formalism. This property is used to give a constellation description of the Clebsch-Gordan series for the product of two states of spin 1. (Atomindex citation 09:392638)

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作者
Bacry, H.;
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年度 1977
页码 p.1-7
总页数 7
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Lorentz groups; Algebra; Clebsch-Gordan coefficients; Energy levels; Lie groups; Spin;

机译：洛伦兹群;代数; Clebsch-Gordan系数;能量水平;李群;旋转;

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专利

1. Relations among Lie-series transformations and isomorphisms between free Lie algebras [J] . P.-V. Koseleff Discrete mathematics . 1998,第1a3期

机译：Lie级数变换与自由Lie代数之间的同构之间的关系
2. Blocks and projective modules for reduced universal enveloping algebras of a nilpotent restricted Lie algebra [J] . Jorg Feldvoss Archiv der Mathematik . 1995,第6期

机译：零幂受限李代数的通用包络代数的块和射影模块
3. A simple algebraic analysis and its relation to the Einstein-Lorentz transformations [J] . Hannon RJ. Physics essays . 1998,第3期

机译：简单的代数分析及其与爱因斯坦-洛伦兹变换的关系
4. Lorentz group Lie algebra map of ultra-relativistic radiating electron [C] . Kawaguchi, H., Tsubota, . 1998

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5. Classification of Five-Dimensional Lie Algebras with One-Dimensional Subalgebras Acting as Subalgebras of the Lorentz Algebra [D] . Rozum, Jordan. 2016

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6. Rota–Baxter operators and post-Lie algebra structures on semisimple Lie algebras [O] . Dietrich Burde, Vsevolod Gubarev -1

机译：半简单李代数上的Rota–Baxter算子和后李代数结构
7. Clifford Algebra and Space-Time Transformations: Lorentz Transformation and Inertial Transformation [O] . de Oliveira, R., da Silva, S. J., de Campos, V. H. G. 2013

机译：克利福德代数与时空转换：洛伦兹变换和惯性转换

Projective Lie Algebra of the Lorentz Group and Homographic Transformations

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