THE COMBINATORICS OF TENSOR PRODUCTS OF HIGHER AUSLANDER ALGEBRAS OF TYPE A

被引:2
作者
Mcmahon, Jordan [1 ]
Williams, Nicholas J. [2 ]
机构
[1] Karl Franzens Univ Graz, Heinrichstr 36, A-8010 Graz, Austria
[2] Univ Leicester, Sch Math & Actuarial Sci, Univ Rd, Leicester LE1 7RH, Leics, England
基金
奥地利科学基金会; 英国工程与自然科学研究理事会;
关键词
05E10; 13F60; 14M15; 16G70; 18G05; REPRESENTATION-FINITE ALGEBRAS; GORENSTEIN ALGEBRAS; CLUSTER CATEGORIES; DIMENSION; QUIVERS;
D O I
10.1017/S0017089520000361
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We consider maximal non-l-intertwining collections, which are a higher-dimensional version of the maximal non-crossing collections which give clusters of Plucker 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.
引用
收藏
页码:526 / 546
页数:21
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