Homological properties of braided matrices (Q1340444)

Let \(R\) be a multiparameter solution of the quantum Yang-Baxter equation of type \(A_{n-1}\). Let \(B(R)\) be the associated algebra of braided matrices, introduced in [\textit{S. Majid}, J. Math. Phys. 32, 3246-3253 (1991)]. In this article, it is shown that \(B(R)\) is a Noetherian Auslander-regular domain of dimension \(n^ 2\) satisfying the Cohen- Macaulay condition.