Geodesic
Subrings of invariants for actions of finite-dimensional Hopf algebras
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Seminar on Algebra and Mathematical Logic of the Kazan (Volga Region) Federal University, Tome 158 (2018), pp. 40-80

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This paper is a survey of recent work on invariants of actions of Hopf algebras. Its highlights are results on integrality of $H$-module PI algebras over the subrings of invariant elements obtained by P. Etingof and M. Eryashkin. Older results are also reviewed.
Keywords: Hopf algebras, $H$-module algebras
Mots-clés : invariants. 
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     author = {S. M. Skryabin},
     title = {Subrings of invariants for actions of finite-dimensional {Hopf} algebras},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {40--80},
     publisher = {mathdoc},
     volume = {158},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2018_158_a2/}
}
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S. M. Skryabin. Subrings of invariants for actions of finite-dimensional Hopf algebras. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Seminar on Algebra and Mathematical Logic of the Kazan (Volga Region) Federal University, Tome 158 (2018), pp. 40-80. http://geodesic.mathdoc.fr/item/INTO_2018_158_a2/