Standard components of a Krull-Schmidt category
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- by Shiping Liu and Charles Paquette
- Proc. Amer. Math. Soc. 143 (2015), 45-59
- DOI: https://doi.org/10.1090/S0002-9939-2014-12200-3
- Published electronically: August 28, 2014
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Abstract:
We provide criteria for an Auslander-Reiten component having sections of a Krull-Schmidt category to be standard. Specializing to the category of finitely presented representations of a strongly locally finite quiver and its bounded derived category, we obtain many new types of standard Auslander-Reiten components. An application to the module category of a finite-dimensional algebra yields some interesting new results.References
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Bibliographic Information
- Shiping Liu
- Affiliation: Département de Mathématiques, Université de Sherbrooke, Sherbrooke, Québec J1K 2R1, Canada
- Email: shiping.liu@usherbrooke.ca
- Charles Paquette
- Affiliation: Department of Mathematics and Statistics, University of New Brunswick, Fredericton, New Brunswick E3B 5A3, Canada
- MR Author ID: 787027
- Email: charles.paquette@usherbrooke.ca
- Received by editor(s): August 24, 2012
- Received by editor(s) in revised form: January 29, 2013, and March 6, 2013
- Published electronically: August 28, 2014
- Additional Notes: The first-named author was supported in part by the NSERC of Canada
The second-named author was supported in full by NSERC and AARMS - Communicated by: Birge Huisgen-Zimmermann
- © Copyright 2014 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 143 (2015), 45-59
- MSC (2010): Primary 16G70, 16G20, 16G10
- DOI: https://doi.org/10.1090/S0002-9939-2014-12200-3
- MathSciNet review: 3272731
Dedicated: In memory of Michael C. R. Butler