On the representation theory of braid groups.

DOI10.5802/ambp.326zbMath1303.20047arXivmath/0502118OpenAlexW1665374527MaRDI QIDQ395366

Ivan Marin

Publication date: 29 January 2014

Published in: Annales Mathématiques Blaise Pascal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0502118

zbMATH Keywords

braid groupsrepresentationspower seriescompletionsclassical braid representationsDrinfeld associatorsinfinitesimal braids

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Braid groups; Artin groups (20F36)

Related Items

A maximal cubic quotient of the braid algebra. I., The Lie algebra of transpositions., Krammer representations for complex braid groups., On the generic Krammer representations., A quotient of the Artin braid groups related to crystallographic groups, On a class of unitary representations of the braid groups \(B_3\) and \(B_4\), Embeddings of finite groups in \(B_n/\Gamma_k(P_n)\) for \(k=2,3\), Algebraic monodromy of dihedral Artin groups., The Long-Moody construction and polynomial functors

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Braids inside the Birman-Wenzl-Murakami algebra.
• Representations on a complete discrete valuation ring.
• The Lie algebra of transpositions.
• Série de Poincaré-Koszul associée aux groupes de tresses pures
• A modular construction of unramified p-extensions of \(\mathbb{Q}(\mu_p)\)
• Relations among the squares of the generators of the braid group
• Infinitesimal Hecke algebras.
• Infinitesimal quotients of the braid group.
• On matrices in prescribed conjugacy classes with no common invariant subspace and sum zero
• Characterizations of the Burau representation.
• On a lemma of Ribet.
• Constructing representations of braid groups
• The cubic Hecke algebra on at most 5 strands.
• On the generic Krammer representations.
• On injective homomorphisms for pure braid groups, and associated Lie algebras.
• Algebraic monodromy of dihedral Artin groups.
• Normalisateurs de tores. I: Groupes de Coxeter etendus
• On the solutions of analytic equations
• On KZ-systems which are irreducible under the action of the symmetric group
• The Burau Representation is Unitary
• Braids, Links, and Mapping Class Groups. (AM-82)
• Braid Group Representations of Low Degree
• Irréductibilité générique des produits tensoriels de monodromies
• Caractères de rigidité du groupe de Grothendieck–Teichmüller
• Finite Unitary Reflection Groups
• Dimension \(n\) representations of the braid group on \(n\) strings