Ringel duality as an instance of Koszul duality

JOURNAL OF ALGEBRA

卷:506

Article

Bodzenta, Agnieszka¹  Kuelshammer, Julian² 

[1] Univ Warsaw, Fac Math Informat & Mech, Banacha 2, PL-02097 Warsaw, Poland

[2] Univ Stuttgart, Inst Algebra & Number Theory, Pfaffenwaldring 57, D-70569 Stuttgart, Germany

关键词: Bocs;    Coring;    Exceptional collection;    Quasi-hereditary algebra;    Koszul duality;    Smooth rational surface;   

DOI  :  10.1016/j.jalgebra.2018.03.025

来源: Elsevier

【 摘 要 】

In [30], S. Koenig, S. Ovsienko and the second author showed that every quasi-hereditary algebra is Morita equivalent to the right algebra, i.e. the opposite algebra of the left dual, of a coring. Let A be an associative algebra and V an A-coring whose right algebra R is quasi-hereditary. In this paper, we give a combinatorial description of an associative algebra B and a B-coring W whose right algebra is the Ringel dual of R. We apply our results in small examples to obtain restrictions on the A(infinity)-structure of the Ext-algebra of standard modules over a class of quasi-hereditary algebras related to birational morphisms of smooth surfaces. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

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