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- W2963175058 abstract "Maximal green sequences were introduced as combinatorical counterpart for Donaldson-Thomas invariants for 2-acyclic quivers with potential by B. Keller. We take the categorical notion and introduce maximal green sequences for hearts of bounded t-structures of triangulated categories that can be tilted indefinitely. We study the case where the heart is the category of modules over the preprojective algebra of a quiver without loops. The combinatorical counterpart of maximal green sequences for Dynkin quivers are maximal chains in the Hasse quiver of basic support τ-tilting modules. We show that a quiver has a maximal green sequence if and only if it is of Dynkin type. More generally, we study module categories for finite-dimensional algebras with finitely many bricks." @default.
- W2963175058 created "2019-07-30" @default.
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- W2963175058 date "2016-07-27" @default.
- W2963175058 modified "2023-09-23" @default.
- W2963175058 title "Maximal Green Sequences for Preprojective Algebras" @default.
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- W2963175058 doi "https://doi.org/10.1007/s10468-016-9635-2" @default.
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