Auslander-regular and Cohen-Macaulay Quantum Groups

Details Auslander-regular and Cohen-Macaulay Quantum Groups Auslander-regular and Cohen-Macaulay Quantum Groups

2001-04-30

arxiv.org/abs/math/0104283v1

Mathematics

Rings and Algebras

To appear in Algebras and Representation Theory

Scientific paper

In this paper we use refiltering methods to prove that certain types of
multi-filtered algebras are Auslander-regular and Cohen-Macaulay. This is
applied to obtain that the quantized enveloping algebra associated to a Cartan
matrix is Auslander-regular and Cohen-Macaulay.

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