# Reference results for Cartan_subalgebra from Search.com.

## Cartan subalgebra - Wikipedia, the free encyclopedia

https://en.wikipedia.org/wiki/Cartan_subalgebra

A Cartan subalgebra of a finite-dimensional semisimple Lie algebra over an algebraically closed field of characteristic 0 is abelian and also has the following ...

## Cartan Subalgebra -- from Wolfram MathWorld

mathworld.wolfram.com/CartanSubalgebra.html

Cartan Subalgebra. Let be a finite-dimensional Lie algebra over some field . A subalgebra of is called a Cartan subalgebra if it is nilpotent and equal to its ...

## Split Lie algebra - Wikipedia, the free encyclopedia

https://en.wikipedia.org/wiki/Splitting_Cartan_subalgebra

In the mathematical field of Lie theory, a split Lie algebra is a pair where is a Lie algebra and is a splitting Cartan subalgebra, where "splitting" means that for ...

## Lecture 8 | Cartan Subalgebra

math.mit.edu/classes/18.745/Notes/Lecture_8_Notes.pdf

18.745 Introduction to Lie Algebras October 5, 2010 Lecture 8 | Cartan Subalgebra Prof. Victor Kac Scribe: Alejandro O. Lopez De nition 8.1. Let h be a subalgebra of ...

## Learn and talk about Cartan subalgebra, Lie algebras

www.digplanet.com/wiki/Cartan_subalgebra

A Cartan subalgebra of a finite-dimensional semisimple Lie algebra over an algebraically closed field of characteristic 0 is abelian and also has the following ...

## Cartan subalgebra - Languages - Wikipedia, the free ...

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Cartan subalgebra is available in 3 languages. Return to Cartan subalgebra. Languages. Deutsch; עברית; 한국어

## Cartan subalgebra - WOW.com

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## Cartan subalgebra in nLab

https://ncatlab.org/nlab/show/Cartan+subalgebra

that is the Lie algebra of a maximal torus. T ↪ G. T \hookrightarrow G \,. References. Wikipedia, Cartan subalgebra

## cartan subalgebra : definition of cartan subalgebra and ...

dictionary.sensagent.com/cartan subalgebra/en-en

Definitions of cartan subalgebra, synonyms, antonyms, derivatives of cartan subalgebra, analogical dictionary of cartan subalgebra (English)

## Talk:Cartan subalgebra - Wikipedia, the free encyclopedia

https://en.wikipedia.org/wiki/Talk:Cartan_subalgebra

R.e.b. just added a nice example showing maximal abelian subalgebras need not be Cartan subalgebras, but the explanation is rather indirect (cartan subalgebras have a ...