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4 - Infinite-dimensional Representations of Algebras

Published online by Cambridge University Press:  25 November 2023

Edited by
David Jordan ,
Nadia Mazza  and
Sibylle Schroll
David Jordan
Affiliation:
University of Edinburgh
Nadia Mazza
Affiliation:
Lancaster University
Sibylle Schroll
Affiliation:
Universität zu Köln
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Summary

We give an example-driven introduction to a class of modules called pure-injective modules, as well as the techniques that allow us to study them systematically. In particular, we will focus on modules over a K-algebra A, where K is a field.

Keywords

infinite-dimensional representationspure-injective modulesZiegler spectrumFinite Matrix Subgroupspp-definable subgroups
Type
Chapter
Information
Modern Trends in Algebra and Representation Theory , pp. 146 - 168
Publisher: Cambridge University Press
Print publication year: 2023

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References

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