From Solutions to Linear Ordinary Differential Equations to Vertex Operators

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2023-03-01

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Resumo

Using the canonical isomorphism between the exterior power of solutions to generic linear Ordinary Differential Equations of order r< ∞ and the polynomial ring with r indeterminates, we define and compute certain vertex operators whose expression for r= ∞ is precisely that occurring in the classical treatment of the boson-fermion correspondence.

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Boson–Fermion correspondence, ODE, Vertex operators

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Bulletin of the Brazilian Mathematical Society, v. 54, n. 1, 2023.