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arxiv: math/9810152 · v2 · submitted 1998-10-27 · 🧮 math.RA · math.QA

Gorensteinness of invariant subrings of quantum algebras

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keywords algebrasinvariantquantumsubringsauslander-gorensteincertaindimensionalenveloping
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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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