Positivity and canonical bases in rank 2 cluster algebras of finite and affine types
| dc.creator | Sherman, Paul | |
| dc.creator | Zelevinsky, Andrei | |
| dc.date | 2003-07-07 | |
| dc.date | 2003-12-15 | |
| dc.date.accessioned | 2026-07-07T04:59:27Z | |
| dc.date.available | 2026-07-07T04:59:27Z | |
| dc.description | The main motivation for the study of cluster algebras initiated in math.RT/0104151, math.RA/0208229 and math.RT/0305434 was to design an algebraic framework for understanding total positivity and canonical bases in semisimple algebraic groups. In this paper, we introduce and explicitly construct the canonical basis for a special family of cluster algebras of rank 2. | |
| dc.description | 27 pages; A brief introduction added, references updated and expanded, the final version to appear in Moscow Mathematical Journal | |
| dc.identifier | https://arxiv.org/abs/math/0307082 | |
| dc.identifier | http://arxiv.org/abs/math/0307082 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67993 | |
| dc.subject | Representation Theory | |
| dc.subject | Commutative Algebra | |
| dc.subject | Algebraic Geometry | |
| dc.title | Positivity and canonical bases in rank 2 cluster algebras of finite and affine types | |
| dc.type | text |