Geodesic
THE COMBINATORICS OF TENSOR PRODUCTS OF HIGHER AUSLANDER ALGEBRAS OF TYPE A
Glasgow mathematical journal, Tome 63 (2021) no. 3, pp. 526-546

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DOI

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. 
MCMAHON, JORDAN; WILLIAMS, NICHOLAS J. THE COMBINATORICS OF TENSOR PRODUCTS OF HIGHER AUSLANDER ALGEBRAS OF TYPE A. Glasgow mathematical journal, Tome 63 (2021) no. 3, pp. 526-546. doi: 10.1017/S0017089520000361
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     author = {MCMAHON, JORDAN and WILLIAMS, NICHOLAS J.},
     title = {THE {COMBINATORICS} {OF} {TENSOR} {PRODUCTS} {OF} {HIGHER} {AUSLANDER} {ALGEBRAS} {OF} {TYPE} {A}},
     journal = {Glasgow mathematical journal},
     pages = {526--546},
     year = {2021},
     volume = {63},
     number = {3},
     doi = {10.1017/S0017089520000361},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089520000361/}
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