A note on a paper by Cuadra, Etingof and Walton

preprint2016arXivOpen access

Abstract

We analyse the proof of the main result of a paper by Cuadra, Etingof and Walton, which says that any action of a semisimple Hopf algebra HH on the nnth Weyl algebra A=An(K)A=A_n(K) over a field KK of characteristic 00 factors through a group algebra. We verify that their methods can be used to show that any action of a semisimple Hopf algebra HH on an iterated Ore extension of derivation type A=K[x1;d1][x2;d2][⋯ ][xn;dn]A=K[x_1;d_1][x_2;d_2][\cdots][x_n;d_n] in characteristic zero factors through a group algebra.

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