Set theoretic Yang Baxter operators and their deformations

Michael Eisermann

Description

Set-theoretic Yang-Baxter operators and their deformations Michael Eisermann Institut Fourier, Universite Grenoble www-fourier.ujf-grenoble.fr/˜eiserm January 5, 2009 AMS–MAA Joint Mathematics Meetings in Washington DC Special Session on Algebraic Structures in Knot Theory 1/24

• artin's theorem


• ujf grenoble


• obvious relations


• cochain complex


• representations artin's braid


• yang


• relation now


• auu? auv ?

Sujets

• Washington (District de Columbia)
• Baxter
• Alternative algebra
• Chain complex

Informations

• Publié par: pefav
• Nombre de lectures: 16
• Langue: English

Extrait

Set-theoreticYang-Baxteroperators andtheirdeformations MichaelEisermann InstitutFourier,Universite ´ Grenoble www-fourier.ujf-grenoble.fr/˜eiserm January5,2009 AMS–MAAJointMathematicsMeetingsinWashingtonDC SpecialSessiononAlgebraicStructuresinKnotTheory /142

Overview 1 2 3 4 BraidgroupsandYang-Baxterrepresentations Artin’sbraidgroup Yang-Baxterrepresentations Set-theoreticoperators Yang-Baxterdeformations Yang-Baxterdeformations Yang-Baxtercohomology Infinitesimaldeformations Yang-Baxtercohomologyofracks Yang-Baxtercohomologyofracks Thediagonalcochaincomplex Thequasi-diagonalcochaincomplex Conclusionandopenquestions /242