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.

引用

页码：2625 / 2650

页数：26

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