Mathematics – Rings and Algebras
Scientific paper
2007-06-05
Mathematics
Rings and Algebras
39 pages To be published in Transactions of the American Mathematical Society
Scientific paper
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.
Kirkman E.
Kuzmanovich J.
Zhang James J.
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