On Sweedler's cofree cocommutative coalgebra
Rings and Algebras
2017-01-05 v2
Abstract
We give a direct proof of a result of Sweedler describing the cofree cocommutative coalgebra over a vector space, and use our approach to give an explicit construction of liftings of maps into this universal coalgebra. The basic ingredients in our approach are local cohomology and residues.
Keywords
Cite
@article{arxiv.1406.5749,
title = {On Sweedler's cofree cocommutative coalgebra},
author = {Daniel Murfet},
journal= {arXiv preprint arXiv:1406.5749},
year = {2017}
}
Comments
v2: improved some notation and fixed typos. Published in J. Pure and Applied Algebra