Semisimple Hopf actions on Weyl algebras
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etingof_Semisimple hopf.pdf
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126.52 KB
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Checksum (MD5)
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Author(s)
Cuadra, Juan
Etingof, Pavel I
Walton, Chelsea
Date Issued
June 2015
Journal
Advances in Mathematics
Publisher
Elsevier
Citation
Cuadra, Juan et al. “Semisimple Hopf Actions on Weyl Algebras.” Advances in Mathematics 282 (September 2015): 47–55 © 2015 Elsevier Inc
Version
Author's final manuscript
Abstract
We study actions of semisimple Hopf algebras H on Weyl algebras A over an algebraically closed field of characteristic zero. We show that the action of H on A must factor through a group action; in other words, if H acts inner faithfully on A, then H is cocommutative. The techniques used include reduction modulo a prime number and the study of semisimple cosemisimple Hopf actions on division algebras.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-NonCommercial-NoDerivs License
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1016/j.aim.2015.05.014
