Ringel's Approach to Quivers of Type A 2026 (English)Independent thesis Basic level (degree of Bachelor), 10 credits / 15 HE creditsStudent thesisAlternative title

Ringels ansats för koger av typ A (Swedish)

Abstract [en]

We generalize quivers of type A to string posets, in particular generalizing quivers of continuous type A as defined by Igusa–Rock–Todorov and infinite zigzags as defined by Botnan–Crawley-Boevey. We prove a decomposition theorem for pointwise finite-dimensional (pwf) persistence modules over certain string posets, by generalizing a proof due to Ringel on representations of type A_n quivers and using a result of Botnan–Crawley-Boevey on linear orders.

Place, publisher, year, edition, pages

2026. , p. 35

Series

U.U.D.M. project report ; 2026:39

Keywords [en]

Representation theory, Quiver, Quiver representation, Dynkin type A, Type A quiver, Persistence module, Persistence theory, Decomposition theorem, Direct sum, Indecomposable, Zigzag, Zigzag poset, String, String poset, String module

National Category

Algebra and Logic

Identifiers

URN: urn:nbn:se:uu:diva-593871OAI: oai:DiVA.org:uu-593871DiVA, id: diva2:2084799

Educational program

Bachelor Programme in Mathematics

Supervisors

Examiners

Available from: 2026-08-18 Created: 2026-07-06 Last updated: 2026-08-18Bibliographically approved

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Algebra, Logic and Representation Theory

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Algebra and Logic

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