Characteristic (algebra) and Irreducible representation

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

Difference between Characteristic (algebra) and Irreducible representation

Characteristic (algebra) vs. Irreducible representation

In mathematics, the characteristic of a ring R, often denoted char(R), is defined to be the smallest number of times one must use the ring's multiplicative identity (1) in a sum to get the additive identity (0) if the sum does indeed eventually attain 0. In mathematics, specifically in the representation theory of groups and algebras, an irreducible representation (\rho, V) or irrep of an algebraic structure A is a nonzero representation that has no proper subrepresentation (\rho|_W,W), W \subset V closed under the action of \. Every finite-dimensional unitary representation on a Hermitian vector space V is the direct sum of irreducible representations.

Similarities between Characteristic (algebra) and Irreducible representation

Characteristic (algebra) and Irreducible representation have 7 things in common (in Unionpedia): Characteristic (algebra), Complex number, Field (mathematics), Identity element, Mathematics, Real number, Vector space.

Characteristic (algebra)

Characteristic (algebra) and Characteristic (algebra) · Characteristic (algebra) and Irreducible representation · 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.

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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.

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Identity element

In mathematics, an identity element or neutral element is a special type of element of a set with respect to a binary operation on that set, which leaves other elements unchanged when combined with them.

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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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Real number

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

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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.

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The list above answers the following questions

What Characteristic (algebra) and Irreducible representation have in common
What are the similarities between Characteristic (algebra) and Irreducible representation

Characteristic (algebra) and Irreducible representation Comparison

Characteristic (algebra) has 45 relations, while Irreducible representation has 51. As they have in common 7, the Jaccard index is 7.29% = 7 / (45 + 51).

References

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