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...
30 KB (4,472 words) - 09:28, 18 October 2022
a locally compact group is a topological group G for which the underlying topology is locally compact and Hausdorff. Locally compact groups are important...
8 KB (990 words) - 16:51, 25 May 2024
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...
22 KB (470 words) - 08:18, 25 April 2024
mathematics, a compactly generated (topological) group is a topological group G which is algebraically generated by one of its compact subsets. This should...
2 KB (208 words) - 10:23, 10 October 2016
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...
11 KB (995 words) - 12:09, 24 February 2023
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...
19 KB (2,532 words) - 15:27, 24 December 2023
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...
34 KB (2,262 words) - 15:54, 14 May 2024
theory, locally compact abelian groups are abelian groups which have a particularly convenient topology on them. For example, the group of integers (equipped...
6 KB (942 words) - 12:21, 8 November 2023
locally compact quantum group is a relatively new C*-algebraic approach toward quantum groups that generalizes the Kac algebra, compact-quantum-group and...
10 KB (1,826 words) - 19:57, 24 November 2023
In mathematics, compact quantum groups are generalisations of compact groups, where the commutative C ∗ {\displaystyle \mathrm {C} ^{*}} -algebra of continuous...
9 KB (1,633 words) - 05:15, 28 November 2023