Cyclotomic Birman--Wenzl--Murakami algebras, I: Freeness and realization as tangle algebras

Abstract

The cyclotomic Birman-Wenzl-Murakami algebras are quotients of the affine BMW algebras in which the affine generator satisfies a polynomial relation. We show that the cyclotomic BMW algebras are free modules over any (admissible, integral) ground ring, and that they are isomorphic to cyclotomic versions of the Kauffman tangle algebras

Minor corrections

References in corpus (2)

• The Cyclotomic Birman-Murakami-Wenzl Algebras
• Cyclotomic Birman--Wenzl--Murakami algebras, II: Admissibility Relations and Freeness

Cited by in corpus (1)

• The representation theory of cyclotomic BMW algebras