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- W2787434139 abstract "We consider two kinds of periodicities of mutations in cluster algebras. For any sequence of mutations under which exchange matrices are periodic, we define the associated T- and Y-systems. When the sequence is `regular', they are particularly natural generalizations of the known `classic' T- and Y-systems. Furthermore, for any sequence of mutations under which seeds are periodic, we formulate the associated dilogarithm identity. We prove the identities when exchange matrices are skew symmetric." @default.
- W2787434139 created "2018-02-23" @default.
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- W2787434139 date "2010-06-03" @default.
- W2787434139 modified "2023-09-26" @default.
- W2787434139 title "Periodic cluster algebras and dilogarithm identities" @default.
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