Image of the braid groups inside the finite Temperley-Lieb algebras.

DOI10.1007/s00209-013-1270-6zbMath1341.20033arXiv1203.5210OpenAlexW2963263286MaRDI QIDQ2509913

Ivan Marin, Olivier Brunat

Publication date: 31 July 2014

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.5210

zbMATH Keywords

representations of Hecke algebrasactions of braid groupsfinite Temperley-Lieb algebras

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Braid groups; Artin groups (20F36) Representations of associative Artinian rings (16G10) Associative rings and algebras arising under various constructions (16S99)

Related Items (3)

Image of the braid groups inside the finite Iwahori-Hecke algebras ⋮ Discrete real specializations of sesquilinear representations of the braid groups ⋮ Image of the Artin groups of classical types inside the finite Iwahori-Hecke algebras

Cites Work

• Braids inside the Birman-Wenzl-Murakami algebra.
• Denseness and Zariski denseness of Jones braid representations.
• The Lie algebra of transpositions.
• Hecke algebras of type \(A_ n\) and subfactors
• Collineation groups generated by homologies of order greater than 2
• The two-eigenvalue problem and density of Jones representation of braid groups.
• Generalized braid groups and rigidity
• Subgroups of Classical Groups Generated by Long Root Elements
• Caractères de rigidité du groupe de Grothendieck–Teichmüller
• ALGEBRAIC EQUATIONS WITH CONTINUOUS COEFFICIENTS AND SOME PROBLEMS OF THE ALGEBRAIC THEORY OF BRAIDS
• Endliche Gruppen I
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