Cohomologies and deformations of coassociative coderivations

Autor:	Du, Lei, Ma, Yashuang, Xv, Jiangnan, Bao, Yanhong
Rok vydání:	2023
Předmět:	Mathematics - Rings and Algebras
Druh dokumentu:	Working Paper
Popis:	The motivation of this paper is to construct a deformation theory of coderivations of coassociative coalgebras. We introduce a notion of a Coder pair, that is, a coassociative coalgebra with a coderivation. Then we define a proper corepresentation of a Coder pair and study the corresponding cohomology. Finally, we show that a Coder pair is rigid, provided that the second cohomology group is trivial and point out that a deformation of finite order is extensible to higher order deformations if the obstruction class, which is defined to be in the third cohomology group, is trivial. Comment: To appear in Communications in Algebra
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2301.12114 Zobrazit plný text záznamu View this record from Arxiv