mathematics, a compact (topological) group is a topological group whose topology realizes it as a compact topological space (when an element of the group is operated...

a locally compact group is a topological group G for which the underlying topology is locally compact and Hausdorff. Locally compact groups are important...

mathematics, a compactly generated (topological) group is a topological group G which is algebraically generated by one of its compact subsets. This should...

locally compact quantum group is a relatively new C*-algebraic approach toward quantum groups that generalizes the Kac algebra, compact-quantum-group and...

each non-compact simple Lie group G, one compact and one non-compact. The non-compact one is a cover of the quotient of G by a maximal compact subgroup...

Astronomer Paul Hickson created a catalogue of such groups in 1982, the Hickson Compact Groups. Compact groups of galaxies readily show the effect of dark matter...

theory, locally compact abelian groups are abelian groups which have a particularly convenient topology on them. For example, the group of integers (equipped...

space is called locally compact if, roughly speaking, each small portion of the space looks like a small portion of a compact space. More precisely, it...

Hickson Compact Group (abbreviation: HCG) is a collection of galaxies designated as published by Paul Hickson in 1982. The most famous group on Hickson's...

related areas of mathematics, the group algebra is any of various constructions to assign to a locally compact group an operator algebra (or more generally...