Reading the dual Garside length of braids from homological and quantum representations.

DOI10.1007/s00220-014-2249-9zbMath1323.20030arXiv1205.5245OpenAlexW2060808106MaRDI QIDQ2260717

Tetsuya Ito

Publication date: 11 March 2015

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.5245

zbMATH Keywords

braid groupslinear representationsquantum groupslength functionsbraid representationsLawrence-Krammer-Bigelow representationLawrence representationsdual Garside structuresgeneric highest weight representations

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Ordinary representations and characters (20C15) Generators, relations, and presentations of groups (20F05) Braid groups; Artin groups (20F36) Topological methods in group theory (57M07) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10)

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