Cellularity of Cyclotomic Birman--Wenzl--Murakami algebras
Frederick M. Goodman
TL;DR
This paper proves that cyclotomic Birman-Wenzl-Murakami algebras are cellular by constructing a cellular basis from affine tangle diagrams, advancing the understanding of their algebraic structure.
Contribution
It introduces a cellular basis for cyclotomic BMW algebras using affine tangle diagrams, establishing their cellularity.
Findings
Cyclotomic BMW algebras are proven to be cellular.
A cellular basis is constructed explicitly from affine tangle diagrams.
The result enhances the structural understanding of these algebras.
Abstract
We show that the cyclotomic Birman-Wenzl-Murakami algebras are cellular by producing a cellular basis of affine tangle diagrams.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Operator Algebra Research · Advanced Topics in Algebra