Gorensteinness of invariant subrings of quantum algebras

Mathematics – Rings and Algebras

Scientific paper

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AMSTEX, 18 pages. Revised and corrected version

Scientific paper

We prove Auslander-Gorenstein and $\GKdim$-Macaulay properties for certain
invariant subrings of some quantum algebras, the Weyl algebras, and the
universal enveloping algebras of finite dimensional Lie algebras.

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