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- W3045623144 abstract "Abstract We 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." @default.
- W3045623144 created "2020-08-03" @default.
- W3045623144 creator A5060957946 @default.
- W3045623144 creator A5072329985 @default.
- W3045623144 date "2020-07-29" @default.
- W3045623144 modified "2023-10-06" @default.
- W3045623144 title "THE COMBINATORICS OF TENSOR PRODUCTS OF HIGHER AUSLANDER ALGEBRAS OF TYPE<i>A</i>" @default.
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- W3045623144 doi "https://doi.org/10.1017/s0017089520000361" @default.
- W3045623144 hasPublicationYear "2020" @default.
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