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...

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...

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

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...

locally compact groups. Compact group – Topological group with compact topology F. Riesz's theorem Locally compact field Locally compact quantum group – relatively...

locally compact abelian groups that allows generalizing Fourier transform to all such groups, which include the circle group (the multiplicative group of complex...

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...