Representation theory of framisations of knot algebras
type: Item
instance of: scholarly article
title: Representation theory of framisations of knot algebras
zbMATH Open document ID: 1385.57014
DOI: 10.1007/978-3-319-68103-0_3
author: Maria Chlouveraki
publication date: 2018-02-15T00:00:00Z
review text: This survey paper describes the structure and representation theory of various knot algebras, that is quotients of the group algebra of the braid group endowed with a Markov trace. The examples include the Yokonuma-Hecke algebra and its various generalizations and also the framization of the Temperley-Lieb algebra and its various generalizations. The results provide explicit combinatorial description for their simple modules, explicit formulae for dimensions of these simple modules, construction of bases and also semisimplicity criteria for algebras. For the entire collection see [Zbl 1387.00028].
reviewed by: Volodymyr Mazorchuk
Mathematics Subject Classification ID: 57M27
Mathematics Subject Classification ID: 16S99
Mathematics Subject Classification ID: 20C08
Mathematics Subject Classification ID: 57-02
zbMATH DE Number: 6839273
zbMATH Keywords: knot
zbMATH Keywords: Hecke algebra
zbMATH Keywords: Markov trace
zbMATH Keywords: representation
MaRDI profile type: Publication
full work available at URL: 978-3-319-68103-0 3
OpenAlex ID: W2771490852
description: scientific article; zbMATH DE number 6839273