Geodesic
Comparison of power operations in Morava $E$-theories
Homology, homotopy, and applications, Tome 19 (2017) no. 1, pp. 59-87.

Voir la notice de l'article provenant de la source International Press of Boston

There is a Hopf algebroid without antipode which is the dual of the algebra of power operations in Morava $E$-theory. In this paper we compare the category of comodules over the Hopf algebroid in the $n$th Morava $E$-theory with that in the $(n + 1)$st Morava $E$-theory. We show that the $n$th Morava $E$-theory of a finite complex with power operations can be obtained from the $(n + 1)$st Morava $E$-theory with power operations.
DOI : 10.4310/HHA.2017.v19.n1.a4
Classification : 14L05, 55N22, 55S25
Keywords: Morava $E$-theory, power operation, $p$-divisible group, Hopf algebroid 
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     author = {Takeshi Torii},
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     language = {en},
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Takeshi Torii. Comparison of power operations in Morava $E$-theories. Homology, homotopy, and applications, Tome 19 (2017) no. 1, pp. 59-87. doi : 10.4310/HHA.2017.v19.n1.a4. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2017.v19.n1.a4/

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