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Canonical decomposition of irreducible linear differential operators with symplectic or orthogonal differential Galois groups

Canonical decomposition of irreducible linear differential operators with symplectic or orthogonal differential Galois groups

We first revisit an order-six linear differential operator, already introduced in a previous paper, having a solution which is a diagonal of a rational function of three variables. This linear differential operator is such that its exterior square has a rational solution, indicating that it has a selected differential Galois …