Universität zu Köln

Pfeifer, Calvin ORCID: 0000-0002-5684-2181 (2025). Remarks on t-tilted versions of the second Brauer–Thrall conjecture. Bulletin of the London Mathematical Society, 57 (5). pp. 1568-1583. Wiley. ISSN 0024-6093

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Abstract

In this short note, we state a stable and a t-reduced version of the second Brauer–Thrall conjecture. The former is a slight strengthening of a brick version of the second Brauer–Thrall conjecture raised by Mousavand and Schroll–Treffinger–Valdivieso. The latter is stated in terms of Geiß–Leclerc–Schröer’s generically t-reduced components and provides a geometric interpretation of a question of Demonet. It follows that the stable second Brauer–Thrall conjecture implies our t-reduced second Brauer–Thrall conjecture. It follows that the stable second Brauer–Thrall conjecture implies our t-reduced second Brauer–Thrall conjecture. Finally, we prove the reversed implication for the class of [Epsilon]-tame algebras recently introduced by Asai–Iyama.

Item Type:	Article
Creators:	Creators Email ORCID ORCID Put Code Pfeifer, Calvin UNSPECIFIED https://orcid.org/0000-0002-5684-2181 UNSPECIFIED
URN:	urn:nbn:de:hbz:38-802561
Identification Number:	10.1112/blms.70048
Journal or Publication Title:	Bulletin of the London Mathematical Society
Volume:	57
Number:	5
Page Range:	pp. 1568-1583
Number of Pages:	16
Date:	17 May 2025
Publisher:	Wiley
ISSN:	0024-6093
Language:	English
Faculty:	Faculty of Mathematics and Natural Sciences
Divisions:	Faculty of Mathematics and Natural Sciences > Department of Mathematics and Computer Science > Mathematical Institute
Subjects:	Mathematics
['eprint_fieldname_oa_funders' not defined]:	Publikationsfonds UzK
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/80256