Abstract
This paper is a report of my lecture at the International Conference on the Representation Theory of Algebras which preceded the Euroconference on Infinite Length Modules. While it is true that the aim of the research is the homological algebra of finitely presented modules, a major point of the lecture was the role that infinitely generated modules could play in the investigation. The methods of idempotent modules and the theory of support varieties for infinite dimensional modules have already had a significant impact on group representation theory. It seems certain that there will be a lot more to follow. I am honored by the invitation to include the report in the conference proceedings, and I would like to thank the organizers of the conference and the workshop for the stimulating experience.
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Carlson, J.F. (2000). The Thick Subcategory Generated by the Trivial Module. In: Krause, H., Ringel, C.M. (eds) Infinite Length Modules. Trends in Mathematics. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8426-6_14
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DOI: https://doi.org/10.1007/978-3-0348-8426-6_14
Publisher Name: Birkhäuser, Basel
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Online ISBN: 978-3-0348-8426-6
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