Mickelsson algebras and Zhelobenko operators

Abstract

We construct a family of automorphisms of Mickelsson algebra, satisfying braid group relations. The construction uses 'Zhelobenko cocycle' and includes the dynamical Weyl group action as a particular case.

References in corpus (3)

• Lectures on the dynamical Yang-Baxter equations
• Yangians and Mickelsson Algebras I
• Difference Equations Compatible with Trigonometric KZ Differential Equations

Cited by in corpus (17)

• A generalized Harish-Chandra isomorphism
• Structure constants of diagonal reduction algebras of gl type
• R-matrix and Mickelsson algebras for orthosymplectic quantum groups
• Rational and polynomial representations of Yangians
• Diagonal reduction algebra and reflection equation
• Diagonal reduction algebra for $\mathfrak{osp}(1|2)$
• Contravariant form for reduction algebras and Pieri rule
• Equivariant vector bundles over quantum projective spaces
• Differential Calculus on h-Deformed Spaces
• Ghost center and representations of the diagonal reduction algebra of $\mathfrak{osp}(1|2)$
• Diagonal reduction algebras of $\gl$ type
• Rational representations of the Yangian Y(gl_n)
• Differential calculus on $\mathbf{h}$-deformed spaces
• Representations of quantum conjugacy classes of orthosymplectic groups
• Q-W-algebras, Zhelobenko operators and a proof of De Concini-Kac-Procesi conjecture
• On the functor of Arakawa, Suzuki and Tsuchiya
• Symplectic Differential Reduction Algebras and Generalized Weyl Algebras