Browsing Department of Pure Mathematics and Mathematical Statistics (DPMMS) by Subject "cluster algebras"

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  • The greedy basis equals the theta basis: A rank two haiku 

    Cheung, Man Wai; Gross, Mark; Muller, Greg; Musiker, Gregg; Rupel, Dylan; Stella, Salvatore; Williams, Harold (ElsevierJournal of Combinatorial Theory Series A, 2016-08-26)
    We prove the equality of two canonical bases of a rank 2 cluster algebra, the greedy basis of Lee–Li–Zelevinsky and the theta basis of Gross–Hacking–Keel–Kontsevich.