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Auslander-Regular and Cohen–Macaulay Quantum Groups |
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| Authors: | J. Gómez-Torrecillas F. J. Lobillo |
| Affiliation: | (1) Departamento de Álgebra, Universidad de Granada, E18071 Granada, Spain |
| Abstract: | The quantized enveloping C(q)-algebra Uq(C) associated to a Cartan matirx C is Auslander-regular and Cohen–Macaulay. This is deduced from a general theorem, which also applies to solvable polynomial algebras. The results are obtained by constructing a new filtration keeping the properties of the associated graded algebra of a given multi-filtered algebra. |
| Keywords: | quantized enveloping algebra Auslander-regular Cohen– Macaulay multi-filtration solvable polynomial algebra |
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