Logo
Unionpedia
Communication
Get it on Google Play
New! Download Unionpedia on your Android™ device!
Free
Faster access than browser!
 

Automorphism and Composition algebra

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

Difference between Automorphism and Composition algebra

Automorphism vs. Composition algebra

In mathematics, an automorphism is an isomorphism from a mathematical object to itself. In mathematics, a composition algebra over a field is a not necessarily associative algebra over together with a nondegenerate quadratic form that satisfies for all and in.

Similarities between Automorphism and Composition algebra

Automorphism and Composition algebra have 8 things in common (in Unionpedia): Algebra over a field, Complex number, Field (mathematics), Mathematics, Octonion, Quaternion, Real number, William Rowan Hamilton.

Algebra over a field

In mathematics, an algebra over a field (often simply called an algebra) is a vector space equipped with a bilinear product.

Algebra over a field and Automorphism · Algebra over a field and Composition algebra · See more »

Complex number

A complex number is a number that can be expressed in the form, where and are real numbers, and is a solution of the equation.

Automorphism and Complex number · Complex number and Composition algebra · See more »

Field (mathematics)

In mathematics, a field is a set on which addition, subtraction, multiplication, and division are defined, and behave as when they are applied to rational and real numbers.

Automorphism and Field (mathematics) · Composition algebra and Field (mathematics) · 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 · Composition algebra 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 · Composition algebra and Octonion · See more »

Quaternion

In mathematics, the quaternions are a number system that extends the complex numbers.

Automorphism and Quaternion · Composition algebra and Quaternion · See more »

Real number

In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.

Automorphism and Real number · Composition algebra and Real number · See more »

William Rowan Hamilton

Sir William Rowan Hamilton MRIA (4 August 1805 – 2 September 1865) was an Irish mathematician who made important contributions to classical mechanics, optics, and algebra.

Automorphism and William Rowan Hamilton · Composition algebra and William Rowan Hamilton · See more »

The list above answers the following questions

Automorphism and Composition algebra Comparison

Automorphism has 94 relations, while Composition algebra has 60. As they have in common 8, the Jaccard index is 5.19% = 8 / (94 + 60).

References

This article shows the relationship between Automorphism and Composition algebra. To access each article from which the information was extracted, please visit:

Hey! We are on Facebook now! »