Auslander-regular and Cohen-Macaulay Quantum Groups

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.

To appear in Algebras and Representation Theory

Cited by in corpus (2)

• Arithmetic hom-Lie algebras, twisted derivations and non-commutative arithmetic schemes
• Catenarity in quantum nilpotent algebras