Universität zu Köln

Baur, Karin ORCID: 0000-0002-7665-476X and Schroll, Sibylle (2021). Higher extensions for gentle algebras. Bull. Sci. Math., 170. AMSTERDAM: ELSEVIER. ISSN 1952-4773

Full text not available from this repository.

Abstract

In this paper we determine extensions of higher degree between indecomposable modules over gentle algebras. In particular, our results show how such extensions either eventually vanish or become periodic. We give a geometric interpretation of vanishing and periodicity of higher extensions in terms of the surface underlying the gentle algebra. For gentle algebras arising from triangulations of surfaces, we give an explicit basis of higher extension spaces between indecomposable modules showing that in this case there is a symmetry of the higher extension spaces. (C) 2021 Elsevier Masson SAS. All rights reserved.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Baur, Karin UNSPECIFIED orcid.org/0000-0002-7665-476X UNSPECIFIED Schroll, Sibylle UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-572381
DOI:	10.1016/j.bulsci.2021.103010
Journal or Publication Title:	Bull. Sci. Math.
Volume:	170
Date:	2021
Publisher:	ELSEVIER
Place of Publication:	AMSTERDAM
ISSN:	1952-4773
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language CATEGORIES; SURFACES; SYZYGIES Multiple languages Mathematics, Applied Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/57238