Dynkin index and Killing form

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Dynkin index and Killing form

Dynkin index vs. Killing form

In mathematics, the Dynkin index of a representation with highest weight |\lambda| of a compact simple Lie algebra \mathfrak g that has a highest weight \lambda is defined by evaluated in the representation |\lambda|. In mathematics, the Killing form, named after Wilhelm Killing, is a symmetric bilinear form that plays a basic role in the theories of Lie groups and Lie algebras.

Similarities between Dynkin index and Killing form

Dynkin index and Killing form have 3 things in common (in Unionpedia): Adjoint representation, Lie algebra, Mathematics.

Adjoint representation

In mathematics, the adjoint representation (or adjoint action) of a Lie group G is a way of representing the elements of the group as linear transformations of the group's Lie algebra, considered as a vector space.

Adjoint representation and Dynkin index · Adjoint representation and Killing form · See more »

Lie algebra

In mathematics, a Lie algebra (pronounced "Lee") is a vector space \mathfrak g together with a non-associative, alternating bilinear map \mathfrak g \times \mathfrak g \rightarrow \mathfrak g; (x, y) \mapsto, called the Lie bracket, satisfying the Jacobi identity.

Dynkin index and Lie algebra · Killing form and Lie algebra · See more »

Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

Dynkin index and Mathematics · Killing form and Mathematics · See more »

The list above answers the following questions

What Dynkin index and Killing form have in common
What are the similarities between Dynkin index and Killing form

Dynkin index and Killing form Comparison

Dynkin index has 7 relations, while Killing form has 32. As they have in common 3, the Jaccard index is 7.69% = 3 / (7 + 32).

References

This article shows the relationship between Dynkin index and Killing form. To access each article from which the information was extracted, please visit:

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