Invariant subspaces of the Lawrence–Krammer representation

DOI10.1090/S0002-9939-2011-11107-9zbMath1277.20037arXiv1008.0584MaRDI QIDQ2845534

Claire Levaillant

Publication date: 2 September 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.0584

zbMATH Keywords

Specht modulesbraid groupsinvariant subspacesirreducible representationsIwahori-Hecke algebrasLawrence-Krammer representationLawrence-Krammer space

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Ordinary representations and characters (20C15) Braid groups; Artin groups (20F36)

Related Items (1)

REDUCIBILITY OF THE COHEN–WALES REPRESENTATION OF THE ARTIN GROUP OF TYPE D_n

Cites Work

• Unnamed Item
• Homological representations of the Hecke algebra
• Parameters for which the Lawrence-Krammer representation is reducible.
• Irreducibility of the Lawrence-Krammer representation of the BMW algebra of type \(A_{n-1}\).
• The Kauffman polynomial of links and representation theory
• BMW algebras of simply laced type.
• Linearity of Artin groups of finite type.
• On the generic Krammer representations.
• Blocks of Birman-Murakami-Wenzl Algebras
• On the minimal dimensions of irreducible representations of symmetric groups
• The Burau representation of the braid group 𝐵_{𝑛} is unfaithful for large 𝑛
• Braids, Link Polynomials and a New Algebra
• Braid groups are linear
• Braid groups are linear
• On Krammer's representation of the braid group.

This page was built for publication: Invariant subspaces of the Lawrence–Krammer representation