Results 31 to 40 of about 669,567 (373)
The Astronomical Journal, 2000 It is concluded that faint members found in the vicinities of compact groups (CGs) are gravitationally bound with corresponding groups. All members of CGs, faint and bright, move preferentially in the direction of the elongation of the group. We suppose that the number of faint members may be much larger than previously assumed. These two circumstances
V. H. Chavushyan, Hrant M. Tovmassian
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Locally compact wreath products [PDF]
J. Aust. Math. Soc. 107 (2019) 26-52, 2017 Wreath products of non-discrete locally compact groups are usually not locally compact groups, nor even topological groups. We introduce a natural extension of the wreath product construction to the setting of locally compact groups. As an application, we disprove a conjecture of Trofimov, constructing compactly generated locally compact groups of ...
arxiv +1 more source
Homomorphic Images of Locally Compact Groups Acting on Trees and Buildings [PDF]
Monatshefte f\"ur Mathematik, 200, (2023), 507-522, 2021 We study analogues of Cartan decompositions of Lie groups for totally disconnected locally compact groups. It is shown using these decompositions that a large class of totally disconnected locally compact groups acting on trees and buildings have the property that every continuous homomorphic image of the group is closed.
arxiv +1 more source
Induction and restriction as adjoint functors on representations of locally compact groups
International Journal of Mathematics and Mathematical Sciences, 1993 In this paper the Frobenius Reciprocity Theorem for locally compact groups is looked at from a category theoretic point of view.
Robert A. Bekes, Peter J. Hilton
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Properties of locally semi-compact Ir-topological groups
Open Mathematics, 2023 This study investigates some topological properties of locally semi-compact Ir-topological groups and establishes the relationship between Ir-topological groups and semi-compact spaces.
Wang ZhongLi, Teh Wen Chean
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Characterizing Lie groups by controlling their zero-dimensional subgroups [PDF]
Forum Mathematicum, 30 (2018), 295-320, 2017 We provide characterizations of Lie groups as compact-like groups in which all closed zero-dimensional metric (compact) subgroups are discrete. The "compact-like" properties we consider include (local) compactness, (local) omega-boundedness, (local) countable compactness, (local) precompactness, (local) minimality and sequential completeness.
arxiv +1 more source
Locally compact quantum groups [PDF]
Annales Scientifiques de l’École Normale Supérieure, 2000 These lecture notes are intended as an introduction to the theory of locally compact quantum groups that are studied in the framework of operator algebras, i.e. C*-algebras and von Neumann algebras. The presentation revolves around the definition of a locally compact quantum group as given in [KuV00a] and [KuV03].
Kustermans, Johan, Vaes, Stefaan
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A Stone-Weierstrass theorem for group representations
International Journal of Mathematics and Mathematical Sciences, 1978 It is well known that if G is a compact group and π a faithful (unitary) representation, then each irreducible representation of G occurs in the tensor product of some number of copies of π and its contragredient. We generalize this result to a separable
Joe Repka
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Pro-Lie Groups: A Survey with Open Problems
Axioms, 2015 A topological group is called a pro-Lie group if it is isomorphic to a closed subgroup of a product of finite-dimensional real Lie groups. This class of groups is closed under the formation of arbitrary products and closed subgroups and forms a complete ...
Karl H. Hofmann, Sidney A. Morris
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On certain porous sets in the Orlicz space of a locally compact group
, 2012 Let G be a locally compact group with a fixed left Haar measure. Given Young functions φ and ψ, we consider the Orlicz spaces L(G) and L(G) on a nonunimodular group G, and, among other things, we prove that under mild conditions on φ and ψ, the set {(f ...
I. Akbarbaglu, S. Maghsoudi
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