TANGLE AND BRAUER DIAGRAM ALGEBRAS OF TYPE Dn

DOI10.1142/S0218216509007063zbMath1269.20005arXiv0704.2754OpenAlexW2135873075MaRDI QIDQ3631168

Dié A. H. Gijsbers, Arjeh M. Cohen, David B. Wales

Publication date: 5 June 2009

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0704.2754

zbMATH Keywords

Temperley-Lieb algebrasCoxeter groupsBrauer algebrastanglesBMW algebrasBrauer diagrams

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Braid groups; Artin groups (20F36) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Representations of quivers and partially ordered sets (16G20)

Related Items (7)

REDUCIBILITY OF THE COHEN–WALES REPRESENTATION OF THE ARTIN GROUP OF TYPE D_n ⋮ Brauer algebras of simply laced type. ⋮ The Birman-Murakami-Wenzl algebras of type \(\mathbf E_n\). ⋮ The Birman–Murakami–Wenzl Algebras of Type D_n ⋮ Mühlherr's Partitions for Brauer Algebras of Type H₃and H₄ ⋮ The Dieck-Temperley-Lieb algebras of type B and C in Brauer algebras ⋮ Brauer algebras of multiply laced Weyl type

Cites Work

• Quantum groups and subfactors of type B, C, and D
• The reduced Birman-Wenzl algebra of Coxeter type B
• BMW algebras of simply laced type.
• On algebras which are connected with the semisimple continuous groups
• GENERALIZED TEMPERLEY–LIEB ALGEBRAS AND DECORATED TANGLES
• Braid pictures for Artin groups
• Affine Birman–Wenzl–Murakami algebras and tangles in the solid torus

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