Linear relations among basis elements in the centers of universal central extensions of Der(A) and g⊗A on superelliptic curves match the three-term recurrences of orthogonal polynomials, with explicit proofs for Legendre polynomials when P(x) is quadratic or quartic palindromic.
Albino dos Santos, M
2 Pith papers cite this work. Polarity classification is still indexing.
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Wakimoto-type free field realizations for superelliptic sl2 affine algebras work in even/odd sectors but are obstructed in mixed sectors by charge-residue recurrence and non-integer exponent branch cuts.
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A partial dictionary between universal central extensions and orthogonal polynomials in the superelliptic Krichever--Novikov setting
Linear relations among basis elements in the centers of universal central extensions of Der(A) and g⊗A on superelliptic curves match the three-term recurrences of orthogonal polynomials, with explicit proofs for Legendre polynomials when P(x) is quadratic or quartic palindromic.
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Free Field Realizations of Superelliptic Affine Lie Algebras
Wakimoto-type free field realizations for superelliptic sl2 affine algebras work in even/odd sectors but are obstructed in mixed sectors by charge-residue recurrence and non-integer exponent branch cuts.