Cayley-Hamilton Identity in quantum algebras

Dimitri Gurevich (1)

1 LAMAV - Laboratoire de Mathématiques et leurs Applications de Valenciennes - EA 4015

I plan to exhibit different forms of the CH identity in some quantum algebras. In particular, I’ll discuss Kirillov’s ”family algebras” and their possible generalizations. Applications of the CH identity to integrable systems theory will be discussed as well.

Domaines: Mathématiques [math]

Dimitri Gurevich. Cayley-Hamilton Identity in quantum algebras. Conférence "Representation Theory at the Crossroads of Modern Mathematics", May 2017, Reims, France. ⟨hal-03156144⟩