• Thumbnail for Compact group
    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) - 20:43, 23 November 2024
  • 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 (993 words) - 16:51, 25 May 2024
  • Thumbnail for Galaxy group
    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 (993 words) - 20:04, 26 August 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
  • Thumbnail for Simple Lie group
    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...
    35 KB (2,369 words) - 02:33, 17 December 2024
  • 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 (2,522 words) - 15:27, 24 December 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
  • 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) - 18:55, 5 September 2024
  • Thumbnail for Pontryagin duality
    locally compact abelian groups that allows generalizing Fourier transform to all such groups, which include the circle group (the multiplicative group of complex...
    39 KB (5,807 words) - 20:34, 7 November 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