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dc.contributor.author |
Gunawan, E. |
|
dc.contributor.author |
Musiker, G. |
|
dc.date.accessioned |
2019-02-13T17:16:42Z |
|
dc.date.available |
2019-02-13T17:16:42Z |
|
dc.date.issued |
2015 |
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dc.identifier.citation |
T-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.issn |
1815-0659 |
|
dc.identifier.other |
2010 Mathematics Subject Classification: 13F60; 05E15; 16S99 |
|
dc.identifier.other |
DOI:10.3842/SIGMA.2015.060 |
|
dc.identifier.uri |
http://dspace.nbuv.gov.ua/handle/123456789/147131 |
|
dc.description.abstract |
We 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.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 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.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 |
T-Path Formula and Atomic Bases for Cluster Algebras of Type D |
uk_UA |
dc.type |
Article |
uk_UA |
dc.status |
published earlier |
uk_UA |
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