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...

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...

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

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...

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

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...

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

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...