Braid groups, monoids and presentations.

Objective

The primary objective of this project is to develop the understanding of braid groups, particularly those of complex reflection groups, by describing and studying particular presentations for them, for which the corresponding monoid embeds in the group. Concretely, this includes looking for explicit presentations with the desired properties, and then finding natural descriptions for them (in the manner that the "Artin presentations" for braid groups of real reflection groups correspond to the Dynkin diagrams of finite type.) Normal forms for elements will be sought, and consequently solutions to the word and conjugacy problems for the braid groups.

Programme(s)

FP5-HUMAN POTENTIAL - Programme for research, technological development and demonstration on "Improving the human research potential and the socio-economic knowledge base" (1998-2002)

Topic(s)

Data not available

Call for proposal

Data not available

Funding Scheme

RGI - Research grants (individual fellowships)

Coordinator

CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE

EU contribution

No data

Address

Rue Pierre et Marie Curie 11
75005 PARIS
France

Total cost