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Vladimir Drinfel'd (Definition)

Vladimir Gershonovich Drinfel'd (born 1954) Ukrainian mathematician and mathematical physicist. Proposing the term ``quantum group'' 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 algebras or, more recently, from Hopf C*-algebras has been carried out in detail via Fourier transformation as such finite groups are dual to certain Hopf C*-algebras. 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 are named after him. He was awarded and accepted the Fields medal in 1990.




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Other names:  Vladimir Drinfeld, Vladimir Gershonovich Drinfel'd
Keywords:  quantum Yang-Baxter equations, R-matrix, quasitriangular Hopf algebras, quantum double construction, quantum groups and quantum supergroup
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Cross-references: Fields medal, superalgebras, supergroups, quantum double, finite groups, transformation, C*-algebras, finite quantum groups, field, equations, solutions, Hopf algebras, connection, term
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This is version 6 of Vladimir Drinfel'd, born on 2006-10-17, modified 2008-12-21.
Object id is 8464, canonical name is VladimirDrinfeld.
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Classification:
AMS MSC01A60 (History and biography :: History of mathematics and mathematicians :: 20th century)
 01A61 (History and biography :: History of mathematics and mathematicians :: Twenty-first century)
 01A65 (History and biography :: History of mathematics and mathematicians :: Contemporary)

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