THE COMBINATORICS OF TENSOR PRODUCTS OF HIGHER AUSLANDER ALGEBRAS OF TYPE A
Keyword(s):
Type A
◽
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.
Keyword(s):
2014 ◽
Vol 35
(7)
◽
pp. 2242-2268
◽
1975 ◽
Vol 78
(2)
◽
pp. 301-307
◽
Keyword(s):
Keyword(s):
1976 ◽
Vol 19
(4)
◽
pp. 385-402
◽
Keyword(s):