Advanced search
Start date
Betweenand

On representations of quantum and classical Kac-Moody algebras

Abstract

This project is concerned with 2 directions of the Representation Theory of classical and quantum Kac-Moody Algebras, which are of great present interest in various areas of Mathematics and Physics.The first one is on finite-dimensional representations of the Affine Algebras, where we focus in the theory of q-caracters and the structure theory of the Kirillov-Reshetikhin modules, both in the classical, quantum, and root of unity setting.The second focuses on finding some "canonical" bases for certain non-integrable representations, with spetial atention to the algebraic-geometry point of view of the theory as, for instance, its development from quiver varieties. (AU)

Articles published in Agência FAPESP Newsletter about the research grant:
More itemsLess items
Articles published in other media outlets ( ):
More itemsLess items
VEICULO: TITULO (DATA)
VEICULO: TITULO (DATA)