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 ...

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 ...

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 ...

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 ...

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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 ...

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

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

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

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

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 ...