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Representation theory (translated from German)
Representation theory Described the here Representation theory a subsection is that Mathematik , on ... a special case of the actual constructs Representation theory is, which itself with representations of ... by transformations of certain mathematical articles. One Representation ? a group G is thus in Homomorphismus ... in W: ? (gh) =? (g)? (h). One linear representation a representation is by automorphisms one ...
http://de.wikipedia.org/wiki/Darstellungstheorie - 15k - Cached (German) - Wikipedia (German) - Similar pages
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Regular representation
Regular representation In mathematics, and in particular the theory of group representations, the regular representation of a group G is the linear representation afforded by the group action of G on itself. Significance of the regular representation of a group To say that G ... we consider this action as a permutation representation it is characterised as having a ...
http://en.wikipedia.org/wiki/Regular_representation - 12k - Cached - Similar pages
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Group representation
Group representation Group representation theory is the branch of mathematics that ... representations as linear transformations of vector spaces. Representation theory is important because it enables many ... algebras; for the rest of this article representation and representation theory will refer only to representation ...
http://en.wikipedia.org/wiki/Group_representation - 19k - Cached - Similar pages
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Irreducible (mathematics)
Irreducible (mathematics) In mathematics, the term irreducible is used in several ways. In abstract algebra, irreducible can be an abbreviation for irreducible element; for example an irreducible polynomial. In commutative algebra, a commutative ...
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Symplectic representation
Symplectic representation In mathematics and theoretical physics, a pseudoreal representation is a group representation that is equivalent to its complex conjugate, but that is not a real representation. That is, it satisfies the obvious necessary condition to be equivalent to a representation by means of real matrices; but ...
http://en.wikipedia.org/wiki/Symplectic_representation - 4k - Cached - Similar pages
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Fundamental representation
Fundamental representation In mathematics, a fundamental representation is a representation of a mathematical structure, such as a ... that satisfies the following condition: All other irreducible representations of the group can be found ... in the tensor products of the fundamental representation with many copies of itself. In ...
http://en.wikipedia.org/wiki/Fundamental_representation - 3k - Cached - Similar pages
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Representation theory of finite groups
Representation theory of finite groups In mathematics, the general features of the representation theory of a finite group G, over ... the years before 1900. Later the modular representation theory of Richard Brauer was developed. Basic ... stated. We say that ρ is a representation of G if the mapping |
Unitary representation
Unitary representation In mathematics, a unitary representation of a group G is a linear representation π of G on a complex Hilbert ... G, a fairly complete picture of the representation theory of G is given by Pontryagin ... In general, the unitary equivalence classes of irreducible unitary representations of G makes up ...
http://en.wikipedia.org/wiki/Unitary_representation - 5k - Cached - Similar pages
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Adjoint representation
Adjoint representation In mathematics, the adjoint representation (or adjoint action) of a Lie group G is the natural representation of G on its own Lie algebra. This representation is the linearized version of the action ... to Ad g is called the adjoint representation of G. This is indeed a ...
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Modular representation theory
Modular representation theory In mathematics, modular representation theory is the branch of representation theory that studies linear representations of finite ... as an element of K. Such a representation is known as a modular representation. An example of modular representation theory ...
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