Results 21 to 30 of about 311,511 (286)
Locally Compact Contractive Local Groups
Journal of Lie Theory, 2009 10 ...
van den Dries, Lou, Goldbring, Isaac
openaire +3 more sources
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
Decomposing locally compact groups into simple pieces [PDF]
, 2008 We present a contribution to the structure theory of locally compact groups. The emphasis is on compactly generated locally compact groups which admit no infinite discrete quotient.
Bourbaki +18 more
core +2 more sources
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
doaj +1 more source
Generalized Analogs of the Heisenberg Uncertainty Inequality [PDF]
, 2015 We investigate locally compact topological groups for which a generalized analogue of Heisenberg uncertainty inequality hold. In particular, it is shown that this inequality holds for $\mathbb{R}^n \times K$ (where $K$ is a separable unimodular locally ...
Bansal, Ashish, Kumar, Ajay
core +2 more sources
Computing the Scale of an Endomorphism of a totally Disconnected Locally Compact Group
Axioms, 2017 The scale of an endomorphism of a totally disconnected, locally compact group G is defined and an example is presented which shows that the scale function is not always continuous with respect to the Braconnier topology on the automorphism group of G ...
George A. Willis
doaj +1 more source
Exponentials on Locally Compact Abelian Groups [PDF]
Proceedings of the American Mathematical Society, 1981 The canonical mapping on the product of a LCA group with its dual is shown to extend uniquely in a homomorphic and analytic way to the product of the respective complexifications. According to the Pontryagin-Van Kampen theory, locally compact Abelian groups exist in pairs.
Novak, David, McKennon, Kelly
openaire +2 more sources
Splitting of extensions in the category of locally compact abelian groups [PDF]
International Journal of Group Theory, 2014 Let $pounds$ be the category of all locally compact abelian (LCA) groups. In this paper, the groups $G$ in $pounds$ are determined such that every extension $0to Xto Yto Gto 0$ with divisible, $sigma-$compact $X$ in $pounds$ splits. We also determine the
Hossein Sahleh , Akbar Alijani
doaj