Geodesic
Coalgebras, braidings, and distributive laws
Theory and applications of categories, The Carboni Festschrift, Tome 13 (2004), pp. 129-146 Cet article a éte moissonné depuis la source Theory and Applications of Categories website

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We show, for a monad T, that coalgebra structures on a T-algebra can be described in terms of "braidings", provided that the monad is equipped with an invertible distributive law satisfying the Yang-Baxter equation.

Classification : 18C15, 18C20, 18D10, 16B50
Keywords: Descent data, monads, distributive laws, Yang-Baxter equation 
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     author = {Stefano Kasangian and Stephen Lack and Enrico M. Vitale},
     title = {Coalgebras, braidings, and distributive laws},
     journal = {Theory and applications of categories},
     pages = {129--146},
     year = {2004},
     volume = {13},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2004_13_a7/}
}
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Stefano Kasangian; Stephen Lack; Enrico M. Vitale. Coalgebras, braidings, and distributive laws. Theory and applications of categories, The Carboni Festschrift, Tome 13 (2004), pp. 129-146. http://geodesic.mathdoc.fr/item/TAC_2004_13_a7/