Gratz, SiraZvonareva, Alexandra2023-08-212023-08-2120231469-77500024-61071859836216http://nbn-resolving.de/urn:nbn:de:bsz:93-opus-ds-134618http://elib.uni-stuttgart.de/handle/11682/13461http://dx.doi.org/10.18419/opus-13442We classify t-structures and thick subcategories in any discrete cluster category C(Z) of Dynkin type 𝐴, and show that the set of all t-structures on C(Z) is a lattice under inclusion of aisles, with meet given by their intersection.We show that both the lattice of t-structures on C(Z) obtained in this way and the lattice of thick subcategories of C(Z) are intimately related to the lattice of non-crossing partitions of type 𝐴. In particular, the lattice of equivalence classes of non-degenerate tstructures on such a category is isomorphic to the lattice of non-crossing partitions of a finite linearly ordered set.eninfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by/4.0/510article2023-04-19