A note on a paper by Cuadra, Etingof and Walton. (English) Zbl 1369.16032
Summary: We analyze the proof of the main result of a paper by J. Cuadra et al. [Adv. Math. 282, 47–55 (2015; Zbl 1369.16026)], which says that any action of a semisimple Hopf algebra \(H\) on the \(n\)th Weyl algebra \(A=A_n(K)\) over a field \(K\) of characteristic \(0\) factors through a group algebra. We verify that their methods can be used to show that any action of a semisimple Hopf algebra \(H\) on an iterated Ore extension of derivation type \(A=K[x_1;d_1][x_2;d_2][\cdots][x_n;d_n]\) in characteristic zero factors through a group algebra.
MSC:
| 16T05 | Hopf algebras and their applications |
| 13A35 | Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure |
Citations:
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