Combinatorics of faithfully balanced modules

JOURNAL OF COMBINATORIAL THEORY SERIES A

卷:182

Article

Crawley-Boevey, William¹  Ma, Biao²  Rognerud, Baptiste³  Sauter, Julia¹ 

[1] Univ Bielefeld, Fak Math, D-33501 Bielefeld, Germany

[2] Zhejiang Sci Tech Univ, Sch Sci, Hangzhou 310018, Peoples R China

[3] Univ Paris, Inst Math Jussieu Paris Rive Gauche, F-75013 Paris, France

关键词: Faithfully balanced module;    Double centralizer property;    Tilting module;    Nakayama algebra;    Binary tree;   

DOI  :  10.1016/j.jcta.2021.105472

来源: Elsevier

【 摘 要 】

We study and classify faithfully balanced modules for the algebra of triangular nby nmatrices and more generally for Nakayama algebras. The theory extends known results about tilting modules, which are classified by binary trees, and counted with the Catalan numbers. The number of faithfully balanced modules is a 2-factorial number. Among them are n! modules with nindecomposable summands, which can be classified by interleaved binary trees or by increasing binary trees. (C) 2021 Elsevier Inc. All rights reserved.

【 授权许可】

Free