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Maximal Green Sequences of Exceptional Finite Mutation Type Quivers
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2014, том 10
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| dc.contributor.author | Seven, A.I. | |
| dc.date.accessioned | 2019-02-10T10:00:29Z | |
| dc.date.available | 2019-02-10T10:00:29Z | |
| dc.date.issued | 2014 | |
| dc.identifier.citation | Maximal Green Sequences of Exceptional Finite Mutation Type Quivers / A.I. Seven // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 11 назв. — англ. | uk_UA |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.other | 2010 Mathematics Subject Classification: 15B36; 05C50 | |
| dc.identifier.other | DOI:10.3842/SIGMA.2014.089 | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/146610 | |
| dc.description.abstract | Maximal green sequences are particular sequences of mutations of quivers which were introduced by Keller in the context of quantum dilogarithm identities and independently by Cecotti-Córdova-Vafa in the context of supersymmetric gauge theory. The existence of maximal green sequences for exceptional finite mutation type quivers has been shown by Alim-Cecotti-Córdova-Espahbodi-Rastogi-Vafa except for the quiver X₇. In this paper we show that the quiver X₇ does not have any maximal green sequences. We also generalize the idea of the proof to give sufficient conditions for the non-existence of maximal green sequences for an arbitrary quiver. | uk_UA |
| dc.description.sponsorship | This paper is a contribution to the Special Issue on New Directions in Lie Theory. The full collection is available at http://www.emis.de/journals/SIGMA/LieTheory2014.html. The author’s research was supported in part by the Scientific and Technological Research Council. of Turkey (TUBITAK) grant # 113F138. The author also thanks Christof f Geiss for drawing his attention to the paper [1] by presenting its results at the Workshop on Hall and Cluster Algebras in CRM, University of Montreal. He also thanks the organizers for organizing the conference. | uk_UA |
| dc.language.iso | en | uk_UA |
| dc.publisher | Інститут математики НАН України | uk_UA |
| dc.relation.ispartof | Symmetry, Integrability and Geometry: Methods and Applications | |
| dc.title | Maximal Green Sequences of Exceptional Finite Mutation Type Quivers | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
