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- W2979356617 abstract "We show that, for any cluster-tilted algebra of finite representation type over an algebraically closed field, the following three definitions of a maximal green sequence are equivalent: (1) the usual definition in terms of Fomin–Zelevinsky mutation of the extended exchange matrix, (2) a complete forward hom-orthogonal sequence of Schurian modules, (3) the sequence of wall crossings of a generic green path. Together with [24], this completes the foundational work needed to support the author’s work with P. J. Apruzzese [1], namely, to determine all lengths of all maximal green sequences for all quivers whose underlying graph is an oriented or unoriented cycle and to determine which are “linear”." @default.
- W2979356617 created "2019-10-18" @default.
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- W2979356617 date "2019-01-01" @default.
- W2979356617 modified "2023-09-24" @default.
- W2979356617 title "Maximal green sequences for cluster-tilted algebras of finite representation type" @default.
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- W2979356617 doi "https://doi.org/10.5802/alco.61" @default.
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