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- W2952374814 abstract "We consider the Ptolemy cluster algebras, which are cluster algebras of finite type $A$ (with non-trivial coefficients) that have been described by Fomin and Zelevinsky using triangulations of a regular polygon. Given any seed $zS$ in a Ptolemy cluster algebra, we present a formula for the expansion of an arbitrary cluster variable in terms of the cluster variables of the seed $zS$. Our formula is given in a combinatorial way, using paths on a triangulation of the polygon that corresponds to the seed $zS$." @default.
- W2952374814 created "2019-06-27" @default.
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- W2952374814 date "2006-11-30" @default.
- W2952374814 modified "2023-09-27" @default.
- W2952374814 title "A cluster expansion formula ($A_n$ case)" @default.
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