On the Homology of the Dual de Rham Complex  

作　　者：Roman MIKHAILOV 

机构地区：[1]Laboratory of Modern Algebra and Applications,St.Petersburg State University,14th Line,29b,Saint Petersburg,199178,Russia [2]St.Petersburg Department of Steklou Mathematical Institute,Fontanka 27,SaintPetersburg,191023,Russia

出　　处：《Acta Mathematica Sinica,English Series》2022年第10期1666-1676,共11页数学学报（英文版）

基　　金：supported by the grant of the Government of the Russian Federation for the state support of scientific research carried out under the supervision of leading scientists;agreement 14.W03.31.0030 dated 15.02.2018.1。

摘　　要：We study the homology of the dual de Rham complex as functors on the category of abelian groups.We give a description of homology of the dual de Rham complex up to degree 7 for free abelian groups and present a corrected version of the proof of Jean’s computations of the zeroth homology group.

关 键 词：Dual de Rham complex polynomial functor divided powers derived functors 

分 类 号：O152[理学—数学]