Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2018, Volume 158, Pages 40–80 (Mi into412)  
Subrings of invariants for actions of finite-dimensional Hopf algebras

S. M. Skryabin

Institute of Mathematics and Mechanics, Kazan (Volga Region) Federal University
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Abstract: 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, invariants.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 1.1515.2017/4.6
This work was partially supported by the Ministry of Education and Science of the Russian Federation (project No. 1.1515.2017/4.6).
English version:
Journal of Mathematical Sciences (New York), 2021, Volume 256, Issue 2, Pages 160–198
DOI: https://doi.org/10.1007/s10958-021-05425-z
Bibliographic databases:
Document Type: Article
UDC: 512.5
MSC: 16T05
Language: Russian
Citation: S. M. Skryabin, “Subrings of invariants for actions of finite-dimensional Hopf algebras”, Proceedings of the Seminar on Algebra and Mathematical Logic of the Kazan (Volga Region) Federal University, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 158, VINITI, Moscow, 2018, 40–80; J. Math. Sci. (N. Y.), 256:2 (2021), 160–198
Citation in format AMSBIB
\Bibitem{Skr18}
\by S.~M.~Skryabin
\paper Subrings of invariants for actions of finite-dimensional Hopf algebras
\inbook Proceedings of the Seminar on Algebra and Mathematical Logic of the Kazan (Volga Region) Federal University
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2018
\vol 158
\pages 40--80
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into412}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3940093}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2021
\vol 256
\issue 2
\pages 160--198
\crossref{https://doi.org/10.1007/s10958-021-05425-z}
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