Q-system Cluster Algebras, Paths and Total Positivity
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Q-system Cluster Algebras, Paths and Total Positivity
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| Creator |
di Francesko, P.
Kedem, R. |
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| Description |
In the first part of this paper, we provide a concise review of our method of solution of the Ar Q-systems in terms of the partition function of paths on a weighted graph. In the second part, we show that it is possible to modify the graphs and transfer matrices so as to provide an explicit connection to the theory of planar networks introduced in the context of totally positive matrices by Fomin and Zelevinsky. As an illustration of the further generality of our method, we apply it to give a simple solution for the rank 2 affine cluster algebras studied by Caldero and Zelevinsky.
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| Date |
2019-02-07T19:11:41Z
2019-02-07T19:11:41Z 2010 |
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| Type |
Article
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| Identifier |
Q-system Cluster Algebras, Paths and Total Positivity / P. di Francesco, R. Kedem // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 28 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 05E10; 13F16; 82B20 http://dspace.nbuv.gov.ua/handle/123456789/146152 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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