Coverings of laura algebras: The standard case

JOURNAL OF ALGEBRA

卷:323

Article

Assem, Ibrahim²  Bustamante, Juan Carlos³  Le Meur, Patrick¹ 

[1] Univ Sud, CNRS, CMLA, F-94230 Cachan, France

[2] Univ Sherbrooke, Dept Math, Sherbrooke, PQ J1K 2R1, Canada

[3] Univ San Fransisco Quito, Dept Matemat, Cumbaya, Quito, Ecuador

关键词: Representations of algebras;    Covering theory;    Galois coverings;    Laura algebras;    Hochschild cohomology;    Simple connectedness;   

DOI  :  10.1016/j.jalgebra.2009.08.013

来源: Elsevier

【 摘 要 】

In this paper, we study the covering theory of laura algebras. We prove that if a connected laura algebra is standard (that is, has a standard connecting component), then it has Galois coverings associated to the coverings of the connecting component. As a consequence, the first Hochschild cohomology group of a standard laura algebra vanishes if and only if it has no proper Galois coverings. (C) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

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