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Automorphism and G2 (mathematics)

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

Difference between Automorphism and G2 (mathematics)

Automorphism vs. G2 (mathematics)

In mathematics, an automorphism is an isomorphism from a mathematical object to itself. 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.

Similarities between Automorphism and G2 (mathematics)

Automorphism and G2 (mathematics) have 6 things in common (in Unionpedia): Lie algebra, Manifold, Mathematics, Octonion, Outer automorphism group, Vector space.

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.

Automorphism and Lie algebra · G2 (mathematics) and Lie algebra · See more »

Manifold

In mathematics, a manifold is a topological space that locally resembles Euclidean space near each point.

Automorphism and Manifold · G2 (mathematics) and Manifold · See more »

Mathematics

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

Automorphism and Mathematics · G2 (mathematics) and Mathematics · See more »

Octonion

In mathematics, the octonions are a normed division algebra over the real numbers, usually represented by the capital letter O, using boldface O or blackboard bold \mathbb O. There are three lower-dimensional normed division algebras over the reals: the real numbers R themselves, the complex numbers C, and the quaternions H. The octonions have eight dimensions; twice the number of dimensions of the quaternions, of which they are an extension.

Automorphism and Octonion · G2 (mathematics) and Octonion · See more »

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.

Automorphism and Outer automorphism group · G2 (mathematics) and Outer automorphism group · See more »

Vector space

A vector space (also called a linear space) is a collection of objects called vectors, which may be added together and multiplied ("scaled") by numbers, called scalars.

Automorphism and Vector space · G2 (mathematics) and Vector space · See more »

The list above answers the following questions

Automorphism and G2 (mathematics) Comparison

Automorphism has 94 relations, while G2 (mathematics) has 46. As they have in common 6, the Jaccard index is 4.29% = 6 / (94 + 46).

References

This article shows the relationship between Automorphism and G2 (mathematics). To access each article from which the information was extracted, please visit:

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