Diagonal reduction algebra and reflection equation

Abstract

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)).

References in corpus (4)

• Lectures on the dynamical Yang-Baxter equations
• Mickelsson algebras and Zhelobenko operators
• A generalized Harish-Chandra isomorphism
• Structure constants of diagonal reduction algebras of gl type

Cited by in corpus (2)

• Contravariant form for reduction algebras and Pieri rule
• Differential Calculus on h-Deformed Spaces