F. Santos

collaborators

2 papers

math.RT2026

Orthogonal polynomials and the centres of the universal central extensions of superelliptic Krichever--Novikov algebras

Felipe Albino dos Santos

We study the universal central extensions of the derivation and current algebras of a superelliptic curve $u^{m} = P (x)$ , for $P$ palindromic of degree $2 r$ . Both centres are finite-di…

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…