Deformed preprojective algebras of generalized Dynkin type

被引：37
|
作者：
Bialkowski, Jerzy
Erdmann, Karin
Skowronski, Andrzej
机构：
[1] Nicholas Copernicus Univ, Fac Math & Comp Sci, PL-87100 Torun, Poland
[2] Univ Oxford, Inst Math, Oxford OX1 3LB, England
来源：
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2007年 / 359卷 / 06期
关键词：
D O I：
10.1090/S0002-9947-07-03948-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We introduce the class of deformed preprojective algebras of generalized Dynkin graphs A(n) (n >= 1), D-n (n >= 4), E-6, E-7, E-8 and L-n (n >= 1) and prove that it coincides with the class of all basic connected finite-dimensional self-injective algebras for which the inverse Nakayama shift nu(-1) S of every non-projective simple module S is isomorphic to its third syzygy Omega(3) S.
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页码：2625 / 2650
页数：26
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