Results 11 to 20 of about 195,139 (314)
Free compact groups I: Free compact abelian groups
The structure of free compact abelian groups is investigated. A compact abelian group G is free compact abelian if and only if \(G\cong K\times {\hat {\mathbb{Q}}}^ a\times \prod_{p\in prime}{\mathbb{Z}}^ b_ p\), where \({\hat {\mathbb{Q}}}\) is the character group of the discrete group of rationals, K is a compact connected abelian group with dense ...
Hofmann, Karl Heinrich +1 more
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G-compactness and groups [PDF]
18 ...
Jakub Gismatullin, Ludomir Newelski
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Lacunarity for Compact Groups [PDF]
Let G be a compact Abelian group with character group X. A subset Δ of X is called a [unk] q set (1 < q < ∞) if for all trigonometric polynomials f = [unk] k =1
Edwards, R. E., Hewitt, E., Ross, K. A.
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Compact Subgroups of Lie Groups and Locally Compact Groups [PDF]
We show that the set of compact subgroups in a connected Lie group is inductive. In fact, a locally compact group G G has ...
Hofmann, Karl H., Terp, Christian
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Representation zeta functions of compact p-adic analytic groups and arithmetic groups [PDF]
We introduce new methods from p-adic integration into the study of representation zeta functions associated to compact p-adic analytic groups and arithmetic groups.
Onn, Uri +3 more
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Compact Groups Of Galaxies [PDF]
This paper reviews some of the outstanding questions concerning compact groups of galaxies. These relate to the physical nature and dynamical status of the groups, their formation and evolution, and their role in galaxy evolution. The picture that emerges is that compact groups are generally physically dense systems, although often contaminated by ...
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Multipliers on compact groups [PDF]
Let a compact group G G act continuously both by left and right translation on a Banach space V V of integrable functions on G G . Then M ( V ) \mathfrak {M}(V) , the space of bounded linear operators on V V commuting ...
Dunkl, Charles F., Ramirez, Donald E.
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Random Action of Compact Lie Groups and Minimax Estimation of a Mean Pattern [PDF]
This paper considers the problem of estimating a mean pattern in the setting of Grenander's pattern theory. Shape variability in a dataset of curves or images is modeled by the random action of elements in a compact Lie group on an infinite dimensional ...
Gadat, Sébastien +3 more
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The Baum-Connes conjecture for free orthogonal quantum groups [PDF]
We prove an analogue of the Baum–Connes conjecture for free orthogonal quantum groups. More precisely, we show that these quantum groups have a γ-element and that γ=1. It follows that free orthogonal quantum groups are K-amenable.
Voigt, C. +2 more
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The structure of compact groups : a primer for the student? A handbook for the expert
This book is designed both as a textbook for high-level graduate courses and as a reference for researchers who need to apply the structure and representation theory of compact groups.
Hofmann, Karl, Morris, Sidney
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