Skip to main content
European Commission logo print header
Content archived on 2022-12-23

Quantum groups and integrable systems

Objective



The theory of quantum groups was created some 10 years ago in relation to problems arising in theoretical physics, such as conformal field theory, inverse scattering method, etc. Its mathematical foundation is a mixture of algebra (theory of groups or Hopf algebras) and differential geometry (Poisson brackets on manifolds or Lie groups). Since then it has found a large number of connections with or applications to other scientific domains, such as classification of knots, representation of finite groups or integrable systems.

The project will develop further the notion of an integrable system which, briefly, is a system of differential equations possessing sufficiently many first integrals. The theory of quantum groups is expected to throw more light on various problems such as the quantization of the classical situation (that is, the passage from classical to quantum mechanics) and the study of bi-Hamiltonian manifolds (manifolds endowed with two Poisson brackets).

Call for proposal

Data not available

Funding Scheme

Data not available

Coordinator

Centre National de la Recherche Scientifique
EU contribution
No data
Address

91128 Palaiseau
France

See on map

Total cost
No data

Participants (3)