Cellularity of Cyclotomic Birman--Wenzl--Murakami algebras

Abstract

We show that the cyclotomic Birman-Wenzl-Murakami algebras are cellular by producing a cellular basis of affine tangle diagrams.

arXiv commentMinor corrections, added figure

References in corpus (2)

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

Cited by in corpus (3)

• Remarks on Cyclotomic and Degenerate Cyclotomic BMW Algebras
• Affine walled Brauer algebras
• Radicals of symmetric cellular algebras