compact group

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• Compact group — In mathematics, a compact (topological, often understood) group is a topological group whose topology is compact. Compact groups are a natural generalisation of finite groups with the discrete topology and have properties that carry over in… …   Wikipedia

• compact group — kompaktinė grupė statusas T sritis fizika atitikmenys: angl. compact group vok. kompakte Gruppe, f rus. компактная группа, f pranc. groupe compact, m …   Fizikos terminų žodynas

• Locally compact group — In mathematics, a locally compact group is a topological group G which is locally compact as a topological space. Locally compact groups are important because they have a natural measure called the Haar measure. This allows one to define… …   Wikipedia

• Hickson Compact Group — (Abkürzung HCG) ist ein Katalog mit 100 Galaxiengruppen, herausgegeben von Paul Hickson im Jahr 1982. [1] Die wohl bekannteste enthaltene Galaxiengruppe im Katalog ist Stephans Quintett. Inhaltsverzeichnis 1 Suchkriterien 2 Weitere Untersuchungen …   Deutsch Wikipedia

• p-compact group — In mathematics, in particular algebraic topology, a p compact group is (roughly speaking) a space that is a homotopical version of a compact Lie group, but with all the structure concentrated at a single prime p. This concept was introduced by… …   Wikipedia

• P-compact group — In mathematics, in particular algebraic topology, a p compact group is (roughly speaking) a space that is a homotopical version of a compact Lie group, but with all the structure concentrated at a single prime p . This concept was introduced by… …   Wikipedia

• Hickson Compact Group — A Hickson Compact Group (abberviation: HCG) is a collection of galaxies designated as published by Paul Hickson in 1982.cite journal author=Hickson, Paul title=Systematic properties of compact groups of galaxies journal=Astrophysical Journal year …   Wikipedia

• Algebraically compact group — In mathematics, in the realm of Abelian group theory, a group is said to be algebraically compact if it is a direct summand of every Abelian group containing it as a pure subgroup.Equivalent characterizations of algebraic compactness: * The group …   Wikipedia

• Compact quantum group — In mathematics, a compact quantum group is an abstract structure on a unital separable C* algebra axiomatized from those that exist on the commutative C* algebra of continuous complex valued functions on a compact quantum group. The basic… …   Wikipedia

• Group representation — In the mathematical field of representation theory, group representations describe abstract groups in terms of linear transformations of vector spaces; in particular, they can be used to represent group elements as matrices so that the group… …   Wikipedia

• Group algebra — This page discusses topological algebras associated to topological groups; for the purely algebraic case of discrete groups see group ring. In mathematics, the group algebra is any of various constructions to assign to a locally compact group an… …   Wikipedia