English

Auslander-regular and Cohen-Macaulay Quantum Groups

Rings and Algebras 2012-07-13 v1 Quantum Algebra

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.

Keywords

Cite

@article{arxiv.math/0104283,
  title  = {Auslander-regular and Cohen-Macaulay Quantum Groups},
  author = {J. Gomez-Torrecillas and F. J. Lobillo},
  journal= {arXiv preprint arXiv:math/0104283},
  year   = {2012}
}

Comments

To appear in Algebras and Representation Theory