On Sweedler's cofree cocommutative coalgebra

• Autores: Daniel Murfet
• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 219, Nº 12 (December 2015), 2015, págs. 5289-5304
• Idioma: inglés
• DOI: 10.1016/j.jpaa.2015.05.012
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• Resumen

  • 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.