A poset connected to Artin monoids of simply laced type.

DOI10.1016/j.jcta.2006.03.012zbMath1150.20021arXivmath/0502501OpenAlexW2042240828MaRDI QIDQ855866

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

Publication date: 7 December 2006

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0502501

zbMATH Keywords

Weyl groupslinear representationsArtin groupsposetsroot systemsArtin monoidsBMW algebrassimply laced Dynkin diagramsmonoid representations

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Free semigroups, generators and relations, word problems (20M05) Combinatorics of partially ordered sets (06A07) Braid groups; Artin groups (20F36)

Related Items (6)

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 ⋮ Corrigendum to ``Brauer algebras of simply laced type ⋮ The Dieck-Temperley-Lieb algebras of type B and C in Brauer algebras ⋮ Brauer algebras of multiply laced Weyl type

Cites Work

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• On the linearity of Artin braid groups.
• BMW algebras of simply laced type.
• Artin monoids inject in their groups
• Linearity of Artin groups of finite type.
• Normalizers of Parabolic Subgroups of Reflection Groups
• Braids, Link Polynomials and a New Algebra
• Braid groups are linear
• Braid groups are linear

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