Rigidity of Graded Regular Algebras

  title={Rigidity of Graded Regular Algebras},
  author={James Kuzmanovich and James J. Zhang},
We prove a graded version of Alev-Polo’s rigidity theorem: the homogenization of the universal enveloping algebra of a semisimple Lie algebra and the Rees ring of the Weyl algebras An(k) cannot be isomorphic to their fixed subring under any finite group action. We also show the same result for other classes of graded regular algebras including the Sklyanin algebras. 0. Introduction The invariant theory of k[x1, · · · , xn] is a rich subject whose study has motivated many developments in… CONTINUE READING