3
views
0
recommends
+1 Recommend
0 collections
    0
    shares
      • Record: found
      • Abstract: not found
      • Article: not found

      Friezes and a construction of the Euclidean cluster variables

      ,
      Journal of Pure and Applied Algebra
      Elsevier BV

      Read this article at

      ScienceOpenPublisher
      Bookmark
          There is no author summary for this article yet. Authors can add summaries to their articles on ScienceOpen to make them more accessible to a non-specialist audience.

          Related collections

          Most cited references8

          • Record: found
          • Abstract: found
          • Article: found
          Is Open Access

          Cluster algebras II: Finite type classification

          , (2003)
          This paper continues the study of cluster algebras initiated in math.RT/0104151. Its main result is the complete classification of the cluster algebras of finite type, i.e., those with finitely many clusters. This classification turns out to be identical to the Cartan-Killing classification of semisimple Lie algebras and finite root systems, which is intriguing since in most cases, the symmetry exhibited by the Cartan-Killing type of a cluster algebra is not at all apparent from its geometric origin. The combinatorial structure behind a cluster algebra of finite type is captured by its cluster complex. We identify this complex as the normal fan of a generalized associahedron introduced and studied in hep-th/0111053 and math.CO/0202004. Another essential combinatorial ingredient of our arguments is a new characterization of the Dynkin diagrams.
            Bookmark
            • Record: found
            • Abstract: not found
            • Article: not found

            Tilting theory and cluster combinatorics

              Bookmark
              • Record: found
              • Abstract: not found
              • Article: not found

              Cluster characters for 2-Calabi–Yau triangulated categories

              Yann Palu (2008)
                Bookmark

                Author and article information

                Journal
                Journal of Pure and Applied Algebra
                Journal of Pure and Applied Algebra
                Elsevier BV
                00224049
                October 2011
                October 2011
                : 215
                : 10
                : 2322-2340
                Article
                10.1016/j.jpaa.2010.12.013
                2e2d25ac-bb6d-4984-9d3f-5d4c962b7385
                © 2011

                http://www.elsevier.com/tdm/userlicense/1.0/

                History

                Comments

                Comment on this article