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

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

2006-12-02

arxiv.org/abs/math/0612064v5

Mathematics

Quantum Algebra

Minor corrections

Scientific paper

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

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