%0 Journal Article
%T Rigidity of Graded Regular Algebras
%A E. Kirkman
%A J. Kuzmanovich
%A J. J. Zhang
%J Mathematics
%D 2007
%I arXiv
%X 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 $A_n(k)$ 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.
%U http://arxiv.org/abs/0706.0662v1