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A symplectic Kovacic's algorithm in dimension 4
[article]
2018
arXiv
pre-print
Let L be a 4th order differential operator with coefficients in K(z), with K a computable algebraically closed field. The operator L is called symplectic when up to rational gauge transformation, the fundamental matrix of solutions X satisfies X^t J X=J where J is the standard symplectic matrix. It is called projectively symplectic when it is projectively equivalent to a symplectic operator. We design an algorithm to test if L is projectively symplectic. Furthermore, based on Kovacic's
arXiv:1802.01023v1
fatcat:thp4fhn2qzhldjnxr72kf4heui