Representation theory | Algebras | Module theory

Algebra representation

In abstract algebra, a representation of an associative algebra is a module for that algebra. Here an associative algebra is a (not necessarily unital) ring. If the algebra is not unital, it may be made so in a standard way (see the adjoint functors page); there is no essential difference between modules for the resulting unital ring, in which the identity acts by the identity mapping, and representations of the algebra. (Wikipedia).

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From playlist Algebra

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From playlist Algebra

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http://mathispower4u.wordpress.com/

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From playlist Abstract Algebra

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From playlist HIM Lectures 2015

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From playlist Mathematics

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From playlist Linear Algebra

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From playlist Mathematics

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From playlist Workshop: Monoidal and 2-categories in representation theory and categorification

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From playlist Mathematics

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From playlist Mathematics 1B (Algebra)

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Related pages

Algebraically closed field | Unital algebra | Vector space | Characteristic polynomial | Associative algebra | Weight (representation theory) | Algebraic variety | Algebra homomorphism | Identity matrix | Commutative algebra | Bilinear map | Lie algebra representation | Representation theory | Adjoint functors | Dimension (vector space) | Field (mathematics) | Real number | Algebraic geometry | Linear complex structure | Noncommutative geometry | Ring (mathematics) | Jacobson density theorem | Representation theory of Hopf algebras | Structure theorem for finitely generated modules over a principal ideal domain | Eigenvalues and eigenvectors | Abstract algebra | Complex number | Triangular matrix | Matrix (mathematics) | Image (mathematics) | Module (mathematics) | Commutative ring