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Dynkin diagram and E7 (mathematics)

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

Difference between Dynkin diagram and E7 (mathematics)

Dynkin diagram vs. E7 (mathematics)

In the mathematical field of Lie theory, a Dynkin diagram, named for Eugene Dynkin, is a type of graph with some edges doubled or tripled (drawn as a double or triple line). In mathematics, E7 is the name of several closely related Lie groups, linear algebraic groups or their Lie algebras e7, all of which have dimension 133; the same notation E7 is used for the corresponding root lattice, which has rank 7.

Similarities between Dynkin diagram and E7 (mathematics)

Dynkin diagram and E7 (mathematics) have 15 things in common (in Unionpedia): ADE classification, Cartan matrix, Cartan subalgebra, Dynkin diagram, En (Lie algebra), F4 (mathematics), Fundamental representation, G2 (mathematics), Group of Lie type, Jordan algebra, Mathematics, Outer automorphism group, Root system, Simple Lie group, Weyl group.

ADE classification

In mathematics, the ADE classification (originally A-D-E classifications) is a situation where certain kinds of objects are in correspondence with simply laced Dynkin diagrams.

ADE classification and Dynkin diagram · ADE classification and E7 (mathematics) · See more »

Cartan matrix

In mathematics, the term Cartan matrix has three meanings.

Cartan matrix and Dynkin diagram · Cartan matrix and E7 (mathematics) · See more »

Cartan subalgebra

In mathematics, a Cartan subalgebra, often abbreviated as CSA, is a nilpotent subalgebra \mathfrak of a Lie algebra \mathfrak that is self-normalising (if \in \mathfrak for all X \in \mathfrak, then Y \in \mathfrak).

Cartan subalgebra and Dynkin diagram · Cartan subalgebra and E7 (mathematics) · See more »

Dynkin diagram

In the mathematical field of Lie theory, a Dynkin diagram, named for Eugene Dynkin, is a type of graph with some edges doubled or tripled (drawn as a double or triple line).

Dynkin diagram and Dynkin diagram · Dynkin diagram and E7 (mathematics) · See more »

En (Lie algebra)

In mathematics, especially in Lie theory, En is the Kac–Moody algebra whose Dynkin diagram is a bifurcating graph with three branches of length 1,2, and k, with k.

Dynkin diagram and En (Lie algebra) · E7 (mathematics) and En (Lie algebra) · See more »

F4 (mathematics)

In mathematics, F4 is the name of a Lie group and also its Lie algebra f4.

Dynkin diagram and F4 (mathematics) · E7 (mathematics) and F4 (mathematics) · See more »

Fundamental representation

In representation theory of Lie groups and Lie algebras, a fundamental representation is an irreducible finite-dimensional representation of a semisimple Lie group or Lie algebra whose highest weight is a fundamental weight.

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G2 (mathematics)

In mathematics, G2 is the name of three simple Lie groups (a complex form, a compact real form and a split real form), their Lie algebras \mathfrak_2, as well as some algebraic groups.

Dynkin diagram and G2 (mathematics) · E7 (mathematics) and G2 (mathematics) · See more »

Group of Lie type

In mathematics, specifically in group theory, the phrase group of Lie type usually refers to finite groups that are closely related to the group of rational points of a reductive linear algebraic group with values in a finite field.

Dynkin diagram and Group of Lie type · E7 (mathematics) and Group of Lie type · See more »

Jordan algebra

In abstract algebra, a Jordan algebra is an nonassociative algebra over a field whose multiplication satisfies the following axioms.

Dynkin diagram and Jordan algebra · E7 (mathematics) and Jordan algebra · See more »

Mathematics

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

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Outer automorphism group

In mathematics, the outer automorphism group of a group,, is the quotient,, where is the automorphism group of and) is the subgroup consisting of inner automorphisms.

Dynkin diagram and Outer automorphism group · E7 (mathematics) and Outer automorphism group · See more »

Root system

In mathematics, a root system is a configuration of vectors in a Euclidean space satisfying certain geometrical properties.

Dynkin diagram and Root system · E7 (mathematics) and Root system · See more »

Simple Lie group

In group theory, a simple Lie group is a connected non-abelian Lie group G which does not have nontrivial connected normal subgroups.

Dynkin diagram and Simple Lie group · E7 (mathematics) and Simple Lie group · See more »

Weyl group

In mathematics, in particular the theory of Lie algebras, the Weyl group of a root system Φ is a subgroup of the isometry group of the root system.

Dynkin diagram and Weyl group · E7 (mathematics) and Weyl group · See more »

The list above answers the following questions

Dynkin diagram and E7 (mathematics) Comparison

Dynkin diagram has 59 relations, while E7 (mathematics) has 59. As they have in common 15, the Jaccard index is 12.71% = 15 / (59 + 59).

References

This article shows the relationship between Dynkin diagram and E7 (mathematics). To access each article from which the information was extracted, please visit:

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