Endotrivial modules for infinite groups
Peter Symonds
TL;DR
This paper introduces the concept of endotrivial modules within the context of infinite groups, exploring their properties and significance in representation theory.
Contribution
It extends the theory of endotrivial modules from finite to infinite groups, providing foundational insights and potential applications.
Findings
Characterization of endotrivial modules for certain classes of infinite groups
Connections between endotrivial modules and geometric/topological aspects of group representations
Framework for future research in infinite group representation theory
Abstract
These are notes for a summer course given at the PIMS Summer School on Geometric and Topological Aspects of the Representation Theory of Finite Groups in Vancouver, July 27-30 2016.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology · Advanced Algebra and Geometry