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Orthogonal polynomials and the centres of the universal central extensions of superelliptic Krichever--Novikov algebras
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 $2r$. Both centres are finite-dimensional and canonically isomorphic. On the derivation side the dimension is known at every covering degree, while redu
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