Differential algebra on lattice Green functions and Calabi-Yau operators (unabridged version)

@inproceedings{Boukraa2013DifferentialAO,
  title={Differential algebra on lattice Green functions and Calabi-Yau operators (unabridged version)},
  author={Salah Boukraa and Saoud Hassani and Jean-Marie Maillard and Jacques-Arthur Weil},
  year={2013}
}
We revisit miscellaneous linear differential operators mostly associated with lattice Green functions in arbitrary dimensions, but also Calabi-Yau operators and order-seven operators corresponding to exceptional differential Galois groups. We show that these irreducible operators are not only globally nilpotent, but are such that they are homomorphic to their (formal) adjoints. Considering these operators, or, sometimes, equivalent operators, we show that they are also such that, either their… CONTINUE READING

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