Journal article
On Algebras of Finite General Representation Type
Transformation groups, Vol.30(2), pp.775-801
06/2025
DOI: 10.1007/s00031-024-09856-1
Abstract
We introduce the notion of "finite general representation type" for a finite-dimensional algebra, a property related to the "dense orbit property" introduced by Chindris-Kinser-Weyman. We use an interplay of geometric, combinatorial, and algebraic methods to produce a family of algebras of wild representation type but finite general representation type. For completeness, we also give a short proof that the only local algebras of discrete general representation type are already of finite representation type. We end with a Brauer-Thrall style conjecture for general representations of algebras.
Details
- Title: Subtitle
- On Algebras of Finite General Representation Type
- Creators
- Ryan Kinser - University of IowaDanny Lara - Texas State University
- Resource Type
- Journal article
- Publication Details
- Transformation groups, Vol.30(2), pp.775-801
- DOI
- 10.1007/s00031-024-09856-1
- ISSN
- 1083-4362
- eISSN
- 1531-586X
- Publisher
- Springer Nature
- Number of pages
- 27
- Grant note
- 636534 / Simons Foundation DMS-2303334 / National Science Foundation; National Science Foundation (NSF)
- Language
- English
- Electronic publication date
- 03/28/2024
- Date published
- 06/2025
- Academic Unit
- Mathematics
- Record Identifier
- 9984586359602771
Metrics
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