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- W4320035750 abstract "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." @default.
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- W4320035750 date "2023-02-11" @default.
- W4320035750 modified "2023-09-27" @default.
- W4320035750 title "Cohomologies and deformations of coassociative coderivations" @default.
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- W4320035750 doi "https://doi.org/10.1080/00927872.2023.2176508" @default.
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