Comparison of Admissibility Conditions for Cyclotomic Birman--Wenzl--Murakami Algebras

Abstract

We show the equivalence of admissibility conditions proposed by Wilcox and Yu and by Rui and Xu for the parameters of cyclotomic BMW algebras.

arXiv commentminor revision; to appear in Journal of Pure and Applied Algebra

References in corpus (6)

• The Cyclotomic Birman-Murakami-Wenzl Algebras
• On the freeness of the cyclotomic BMW algebras: admissibility and an isomorphism with the cyclotomic Kauffman tangle algebras
• The representation theory of cyclotomic BMW algebras
• The representations of cyclotomic BMW algebras
• Cyclotomic Birman--Wenzl--Murakami algebras, II: Admissibility Relations and Freeness
• The cyclotomic BMW algebra associated with the two string type B braid group