Weighted surface algebras: General version

JOURNAL OF ALGEBRA

卷:544

Article

Erdmann, Karin¹  Skowronski, Andrzej² 

[1] Univ Oxford, Math Inst, ROQ, Oxford OX2 6GG, England

[2] Nicolaus Copernicus Univ, Fac Math & Comp Sci, Chopina 12-18, PL-87100 Torun, Poland

关键词: Syzygy;    Periodic algebra;    Self-injective algebra;    Symmetric algebra;    Surface algebra;    Tame algebra;   

DOI  :  10.1016/j.jalgebra.2019.10.020

来源: Elsevier

【 摘 要 】

We introduce the general weighted surface algebras of triangulated surfaces with arbitrarily oriented triangles and describe their basic properties. In particular, we prove that all these algebras, except the singular disc, triangle, tetrahedral and spherical algebras, are symmetric tame periodic algebras of period 4. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free