Diagonal reduction algebra and the reflection equation

S. Khoroshkin (1) , O. Ogievetsky (2, 3)

1 BLTP - Bogoliubov Laboratory of Theoretical Physics [Dubna]
2 CPT - Centre de Physique Théorique - UMR 7332
3 CPT - E2 Géométrie, Physique et Symétries

We describe the diagonal reduction algebra D(gl n) of the Lie algebra gl n in the R-matrix formalism. As a byproduct we present two families of central elements and the braided bialgebra structure of D(gl n).

Domaines: Physique mathématique [math-ph]

S. Khoroshkin, O. Ogievetsky. Diagonal reduction algebra and the reflection equation . Israel Journal of Mathematics, 2017, 221 (1), pp.705-729. ⟨10.1007/s11856-017-1571-2⟩. ⟨hal-01259066⟩