Talk:PlanetPhysics/Vladimir G Drinfeld

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\emph{Vladimir Gershonovich Drinfel'd} (born 1954) Ukrainian mathematician and mathematical physicist.

Drinfel'd amongst other new \htmladdnormallink{concepts}{http://planetphysics.us/encyclopedia/PreciseIdea.html} introduced quantum groups, indicating also the connection between the quasi-triangular \htmladdnormallink{Hopf algebras}{http://planetphysics.us/encyclopedia/QuantumOperatorAlgebra5.html} and solutions of the \htmladdnormallink{Quantum Yang-Baxter equations}{http://planetphysics.us/encyclopedia/FluorescenceCrossCorrelationSpectroscopy.html} involving the R-matrix in reverse scattering problems. Subsequently, \htmladdnormallink{quantum groups}{http://planetphysics.us/encyclopedia/QuantumGroup4.html} have become a \htmladdnormallink{field}{http://planetphysics.us/encyclopedia/CosmologicalConstant.html} of thorough mathematical investigation and the construction of \htmladdnormallink{finite quantum groups}{http://planetphysics.us/encyclopedia/ComultiplicationInAQuantumGroup.html} from Hopf algebras or, more recently, from Hopf \htmladdnormallink{C*-algebras}{http://planetphysics.us/encyclopedia/VonNeumannAlgebra2.html} has been carried out in detail {\em via} Fourier transformation as such finite \htmladdnormallink{groups}{http://planetphysics.us/encyclopedia/TrivialGroupoid.html} are dual to certain Hopf C*-algebras. Then, he introduced the quantum double construction that will lead later to quantum \htmladdnormallink{supergroups}{http://planetphysics.us/encyclopedia/Paragroups.html} and quantized enveloping \htmladdnormallink{superalgebras}{http://planetphysics.us/encyclopedia/MathematicalFoundationsOfQuantumTheories.html} that play a role in developing supersymmetric \htmladdnormallink{quantum gravity theories}{http://planetphysics.us/encyclopedia/SpaceTimeQuantizationInQuantumGravityTheories.html}. Drinfel'd modules and Drinfel'd twists are also named after him.

Vladimir Gershonovich Drinfel'd was awarded and accepted at 36 the Fields medal, in 1990.

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