A note on a paper by Cuadra, Etingof and Walton

2015/06/25 by Lomp, Christian, Pansera, Deividi
#12E15 #13A35 #16T05 #16W70 #FOS: Mathematics #Quantum Algebra (math.QA) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1506.07766

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 H on the nth 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[x₁;d₁][x₂;d₂][⋯][x_n;d_n] in characteristic zero factors through a group algebra.

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