Results 31 to 40 of about 15,579,277 (362)
On distal and equicontinuous compact right topological groups
W. Ruppert has studied, and given examples of, compact left topological groups for which the left translation flow (λG,G) is equicontinuous. Recently, we considered an analogous distal condition that applies to the groups of dynamical type; for these the
Paul Milnes
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A note on compact groups [PDF]
We show that the product of certain subsets in a compact connected topological group is the group itself.
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COMMUTING PROBABILITY OF COMPACT GROUPS [PDF]
AbstractFor any (Hausdorff) compact group G, denote by $\mathrm{cp}(G)$ the probability that a randomly chosen pair of elements of G commute. We prove that there exists a finite group H such that $\mathrm{cp}(G)= {\mathrm{cp}(H)}/{|G:F|^2}$ , where F is the FC-centre of G and H is isoclinic to F with $\mathrm{cp}(F)=\mathrm{cp}(H)$ whenever ...
ALIREZA ABDOLLAHI +1 more
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The Structure of Compact Groups
The theme of this book is the Structure Theory of compact groups. It contains a completely selfcontained introduction to linear Lie groups and a substantial body of material on compact Lie groups.
K. Hofmann, Sidney A. Morris
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A Stone-Weierstrass theorem for group representations
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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Despite the excellent performance of deep learning models for decoding electroencephalography (EEG) signals, the lack of explainability hinders the implementation of deep learning techniques in neuroscience.
Hyosung Joo +4 more
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Cohomologies of certain orbifolds [PDF]
We study the Bott–Chern cohomology of complex orbifolds obtained as a quotient of a compact complex manifold by a finite group of ...
Angella, Daniele
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Doubly stochastic right multipliers
Let P(G) be the set of normalized regular Borel measures on a compact group G. Let Dr be the set of doubly stochastic (d.s.) measures λ on G×G such that λ(As×Bs)=λ(A×B), where s∈G, and A and B are Borel subsets of G. We show that there exists a bijection
Choo-Whan Kim
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Groups with a small set of generators
Following [22] we study the class S of all groups that admit a small set of generators. Here we adopt also another notion of smallness (P-small) introduced by Prodanov in the case of abelian groups.
Dikran Dikranjan +2 more
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Convolution Product for Hilbert $C^*$-Module Valued Maps [PDF]
In this paper, we introduce a convolution-type product for strongly integrable Hilbert $C^*$-module valued maps on locally compact groups. We investigate various properties of this product related to uniform continuity, boundless, etc.
Mawoussi Todjro, Yaogan Mensah
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