T-Path Formula and Atomic Bases for Cluster Algebras of Type D

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dc.contributor.authorGunawan, E.
dc.contributor.authorMusiker, G.
dc.date.accessioned2019-02-13T17:16:42Z
dc.date.available2019-02-13T17:16:42Z
dc.date.issued2015
dc.description.abstractWe extend a T-path expansion formula for arcs on an unpunctured surface to the case of arcs on a once-punctured polygon and use this formula to give a combinatorial proof that cluster monomials form the atomic basis of a cluster algebra of type D.uk_UA
dc.description.sponsorshipThis 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 authors would like to thank Pasha Pylyavskyy, Vic Reiner, and Peter Webb for looking over an early version of this paper, Hugh Thomas for helpful discussions, and the referees for many useful comments. The authors were supported by NSF Grants DMS-1067183 and DMS-1148634.uk_UA
dc.identifier.citationT-Path Formula and Atomic Bases for Cluster Algebras of Type D / E. Gunawan, G. Musiker // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 23 назв. — англ.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 13F60; 05E15; 16S99
dc.identifier.otherDOI:10.3842/SIGMA.2015.060
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/147131
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleT-Path Formula and Atomic Bases for Cluster Algebras of Type Duk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2015, том 11, випуск за цей рік