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Permutation representation theory Glasner, Yair
Description
I will survey a few papers concerning the following question: What can one learn about $G$ from its representation theory into $S$. Where $S=S_\infty$ is the Polish group of all permutations of a countable set. $\text{Hom}(G,S)$ is a Polish space in its own right. We focus on two aspects. How a (Baire) generic representation of $G$ looks like. And the existence of representations with special transitivity properties such as faithful primitive actions, or faithful highly transitive actions of the group.
Item Metadata
Title |
Permutation representation theory
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2017-06-12T15:01
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Description |
I will survey a few papers concerning the following question:
What can one learn about $G$ from its representation theory into $S$.
Where $S=S_\infty$ is the Polish group of all permutations of a countable set.
$\text{Hom}(G,S)$ is a Polish space in its own right. We focus on two aspects. How a (Baire) generic representation of $G$ looks like.
And the existence of representations with special transitivity properties such as faithful primitive actions, or faithful highly transitive actions of the group.
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Extent |
51 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Ben Gurion University of the Negev
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Series | |
Date Available |
2017-12-10
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0361770
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Faculty
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International