Vladimir Drinfel’d
Vladimir Gershonovich Drinfel’d (born 1954) Ukrainian mathematician and mathematical physicist. Proposing the term “quantum group” (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 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 (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 |