Examples of polynomial identities distinguishing the Galois objects over finite-dimensional Hopf algebras
[Exemples d’identités polynomiales distinguant les objets galoisiens d’une algèbre de Hopf de dimension finie]
Kassel, Christian
Annales mathématiques Blaise Pascal, Tome 20 (2013), p. 175-191 / Harvested from Numdam
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Nous définissons le concept d’identité polynomiale pour une algèbre-comodule sur une algèbre de Hopf H. Nous présentons des identités polynomiales explicites distinguant à isomorphisme près les objets galoisiens d’une algèbre de Taft ou de l’algèbre de Hopf E(n).

We define polynomial H-identities for comodule algebras over a Hopf algebra H and establish general properties for the corresponding T-ideals. In the case H is a Taft algebra or the Hopf algebra E(n), we exhibit a finite set of polynomial H-identities which distinguish the Galois objects over H up to isomorphism.

Publié le : 2013-01-01
DOI : https://doi.org/10.5802/ambp.325
Classification:  16R50,  16T05,  16T15
Mots clés: algèbre de Hopf, algèbre-comodule, identité polynomiale 
@article{AMBP_2013__20_2_175_0,
     author = {Kassel, Christian},
     title = {Examples of polynomial identities distinguishing the Galois objects over finite-dimensional Hopf algebras},
     journal = {Annales math\'ematiques Blaise Pascal},
     volume = {20},
     year = {2013},
     pages = {175-191},
     doi = {10.5802/ambp.325},
     zbl = {1292.16024},
     mrnumber = {3138028},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AMBP_2013__20_2_175_0}
}

Kassel, Christian. Examples of polynomial identities distinguishing the Galois objects over finite-dimensional Hopf algebras. Annales mathématiques Blaise Pascal, Tome 20 (2013) pp. 175-191. doi : 10.5802/ambp.325. http://gdmltest.u-ga.fr/item/AMBP_2013__20_2_175_0/

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