Vladimir Drinfel’d

Vladimir Gershonovich Drinfel’d (born 1954) Ukrainian mathematician and mathematical physicist. Proposing the term “quantum groupPlanetmathPlanetmathPlanetmathPlanetmathPlanetmathPlanetmathPlanetmath” (http://planetmath.org/QuantumGroups) Drinfel’d indicated the connection between quasi-triangular Hopf algebras and solutions of the quantum Yang-Baxter equations involving the R-matrix. Subsequently, quantum groups have become a field of thorough mathematical investigation and the construction of finite quantum groups from Hopf algebrasPlanetmathPlanetmathPlanetmath or, more recently, from Hopf C*-algebrasPlanetmathPlanetmathPlanetmath has been carried out in detail via Fourier transformation as such finite groups are dual to certain Hopf C*-algebras (http://planetmath.org/QuantumGroups). he also introduced the contruction of the quantum double leading later to quantum supergroups and quantized enveloping superalgebras. Drinfel’d modules and Drinfel’d twists (http://planetmath.org/QuantumDouble) are named after him. He was awarded and accepted the Fields medal in 1990.

Title Vladimir Drinfel’d
Canonical name VladimirDrinfeld
Date of creation 2013-03-22 16:20:02
Last modified on 2013-03-22 16:20:02
Owner PrimeFan (13766)
Last modified by PrimeFan (13766)
Numerical id 9
Author PrimeFan (13766)
Entry type Definition
Classification msc 01A61
Classification msc 01A65
Classification msc 01A60
Synonym Vladimir Drinfeld
Synonym Vladimir Gershonovich Drinfel’d