Rigidity of Graded Regular Algebras

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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.
39 pages To be published in Transactions of the American Mathematical Society

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Rings and Algebras, 16A62 (Primary), 16E70, 16W30, 20J50 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/129865

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0706.0662
 http://arxiv.org/abs/0706.0662

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arXiv