Incidence Category of the Young Lattice,Injections Between Finite Sets,and Koszulity

作     者：Brendan Dubsky Jie Xiao Brendan Dubsky

作者机构：Department of MathematicsUppsala UniversityUppsalaSweden 不详 

出 版 物：《Algebra Colloquium》 (代数集刊（英文版）)

年 卷 期：2021年第28卷第2期

页      面：195-212页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Young lattice Koszulity category of injections Koszul duality 

摘      要：We study the quadratic quotients of the incidence category of the Young lattice defined by the zero relations corresponding to adding two boxes to the same row,or to the same column,or *** show that the last quotient corresponds to the Koszul dual of the original incidence category,while the first two quotients axe,in a natural way,Koszul duals of each other and hence they axe in particular Koszul *** of these two quotients are known to be basic representatives in the Morita equivalence class of the category of injections between finite *** also present a new,rather direct,argument establishing this Morita equivalence.