Author:
MCMAHON JORDAN,WILLIAMS NICHOLAS J.
Abstract
AbstractWe consider maximal non-l-intertwining collections, which are a higher-dimensional version of the maximal non-crossing collections which give clusters of Plücker coordinates in the Grassmannian coordinate ring, as described by Scott. We extend a method of Scott for producing such collections, which are related to tensor products of higher Auslander algebras of type A. We show that a higher preprojective algebra of the tensor product of two d-representation-finite algebras has a d-precluster-tilting subcategory. Finally, we relate mutations of these collections to a form of tilting for these algebras.
Publisher
Cambridge University Press (CUP)
Reference83 articles.
1. Auslander correspondence
2. [47] Iyama, O. and Grant, J. , Higher preprojective algebras, Koszul algebras, and superpotentials, arXiv preprint arXiv:1902.07878 (2019).
3. [22] Dyckerhoff, T. , Jasso, G. and Lekili, Y. , The symplectic geometry of higher Auslander algebras: Symmetric products of disks, arXiv preprint arXiv:1911.11719 (2019).
4. n -representation infinite algebras
5. [59] Kulkarni, M. C. , Dimer models on cylinders over Dynkin diagrams and cluster algebras, Proc. Amer. Math. Soc. 147(3) (2019), 921–932. MR 3896043
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