Tangle and Brauer Diagram Algebras of Type Dn

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dc.creatorCohen, Arjeh M.
dc.creatorGijsbers, D. A. H.
dc.creatorWales, David B.
dc.date2007-04-20
dc.date.accessioned2026-07-07T07:57:38Z
dc.date.available2026-07-07T07:57:38Z
dc.descriptionA generalization of the Kauffman tangle algebra is given for Coxeter type Dn. The tangles involve a pole or order 2. The algebra is shown to be isomorphic to the Birman-Murakami-Wenzl algebra of the same type. This result extends the isomorphism between the two algebras in the classical case, which in our set-up, occurs when the Coxeter type is of type A with index n-1. The proof involves a diagrammatic version of the Brauer algebra of type Dn in which the Temperley-Lieb algebra of type Dn is a subalgebra.
dc.description33 pages
dc.identifierhttps://arxiv.org/abs/0704.2754
dc.identifierhttp://arxiv.org/abs/0704.2754
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/127716
dc.subjectRepresentation Theory
dc.subjectGroup Theory
dc.subject16K20,17Bxx,20F05,20F36,20M05,57Mxx
dc.titleTangle and Brauer Diagram Algebras of Type Dn
dc.typetext

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