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math.RA2008
Shephard-Todd-Chevalley Theorem for skew polynomial rings
E. Kirkman, J. Kuzmanovich, J. J. Zhang
We prove the following generalization of the classical Shephard-Todd-Chevalley Theorem. Let be a finite group of graded algebra automorphisms of a skew polynomial ring $A:=k_{p…
math.RA2007★ 1 cited
Rigidity of Graded Regular Algebras
E. Kirkman, J. Kuzmanovich, J. 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…