M. Neklyudov

activity

20242026

collaborators

3 papers

math.RT2026

Superelliptic Affine Lie algebras and orthogonal polynomials II

Felipe Albino dos Santos, Mikhail Neklyudov, Vyacheslav Futorny

Let $g$ be a finite-dimensional complex simple Lie algebra and $r, m \geq 2$ . The universal central extension of the superelliptic current algebra $g \otimes A$ i…

math.CA2025

Orthogonalization and polarization of Yangians

Wolfgang Bock, Vyacheslav Futorny, Mikhail Neklyudov +1

For every family of orthogonal polynomials, we define a new realization of the Yangian of $gl_{n}$ . Except in the case of Dickson polynomials, the new realizations do no…

math.RT2024

Superelliptic Affine Lie algebras and orthogonal polynomials

Felipe Albino dos Santos, Mikhail Neklyudov, Vyacheslav Futorny

We construct two families of orthogonal polynomials associated with the universal central extensions of the superelliptic Lie algebras. These polynomials satisfy certain fourth ord…