Quiver Modulations and Potentials
Quiver Modulations and Potentials
dc.contributor.advisor | Schröer, Jan | |
dc.contributor.author | Geuenich, Jan | |
dc.date.accessioned | 2020-04-23T21:33:17Z | |
dc.date.available | 2020-04-23T21:33:17Z | |
dc.date.issued | 11.04.2017 | |
dc.identifier.uri | https://hdl.handle.net/20.500.11811/7162 | |
dc.description.abstract | We introduce DWZ (Derksen-Weyman-Zelevinsky) mutation for a special class of SPs (species with potential). Generalizing a construction of Labardini-Fragoso, we associate with each triangulated, constantly weighted orbifold an SP. For such SPs the compatibility of arc flips and DWZ mutations is established. Moreover, considering not necessarily constantly weighted, unpunctured orbifolds, we define colored triangulations and associated SPs. Finally, we investigate and answer when the Jacobian algebras of two colored triangulations with the same underlying triangulation are isomorphic and prove that these algebras are always finite-dimensional. | en |
dc.language.iso | eng | |
dc.rights | In Copyright | |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | |
dc.subject | algebraic combinatorics | |
dc.subject | representation theory | |
dc.subject | representations of quivers | |
dc.subject | cluster algebras | |
dc.subject | Auslander-Reiten sequences | |
dc.subject.ddc | 510 Mathematik | |
dc.title | Quiver Modulations and Potentials | |
dc.type | Dissertation oder Habilitation | |
dc.publisher.name | Universitäts- und Landesbibliothek Bonn | |
dc.publisher.location | Bonn | |
dc.rights.accessRights | openAccess | |
dc.identifier.urn | https://nbn-resolving.org/urn:nbn:de:hbz:5n-46812 | |
ulbbn.pubtype | Erstveröffentlichung | |
ulbbnediss.affiliation.name | Rheinische Friedrich-Wilhelms-Universität Bonn | |
ulbbnediss.affiliation.location | Bonn | |
ulbbnediss.thesis.level | Dissertation | |
ulbbnediss.dissID | 4681 | |
ulbbnediss.date.accepted | 16.03.2017 | |
ulbbnediss.institute | Mathematisch-Naturwissenschaftliche Fakultät : Fachgruppe Mathematik / Mathematisches Institut | |
ulbbnediss.fakultaet | Mathematisch-Naturwissenschaftliche Fakultät | |
dc.contributor.coReferee | Burban, Igor |
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