Published in
Springer (part of Springer Nature), Algebras and Representation Theory, 1(7), p. 35-42
DOI: 10.1023/b:alge.0000019384.36800.fa
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Auslander-regular and Cohen-Macaulay Quantum Groups
Journal article published in 2001 by
J. Gomez-Torrecillas,
F. J. Lobillo 
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Abstract
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. ; Comment: To appear in Algebras and Representation Theory