Theme « Representation theory »

Researcher :

Cédric Lecouvey.

Abstract :

The works in this topic are mainly focused on linear representation theory of Coxeter groups, Lie groups, Lie algebras ans superalgebras. One studies the numerous links between these very classical objects and some of their formal deformations, which are at the heart of an intense reseach activity since the last two decades.
In addition to their interest in many other mathematical domains, the underlying mathematical theories have interesting applications, notably in theorical physics.

Most of the results obtained in this topics are concerned with quantum groups, canonical and crystal bases theory, Hecke algebras and their generalizations.