Ziegler Spectrum and Krull Gabriel Dimension
Daniel L\'opez-Aguayo
TL;DR
This paper introduces the concepts of Ziegler Spectrum and Krull-Gabriel dimension, providing foundational insights into their roles in the theory of infinite-dimensional representations of finite-dimensional algebras.
Contribution
It offers an accessible introduction to Ziegler Spectrum and Krull-Gabriel dimension, highlighting their significance in representation theory.
Findings
Clarifies the definitions of Ziegler Spectrum and Krull-Gabriel dimension
Explains their applications in the study of infinite-dimensional representations
Provides foundational knowledge for further research in the area
Abstract
These notes are based on a talk given at the Summer School "Infinite-dimensional representations of finite-dimensional algebras" held at the University of Manchester in September 2015. They intend to provide a brief introduction to the notion of Ziegler Spectrum and Krull-Gabriel dimension.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Rings, Modules, and Algebras