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- W4300463930 abstract "In a previous work of the authors, a middle convolution operation on the category of Fuchsian differential systems was introduced. In this note we show that the middle convolution of Fuchsian systems preserves the property of global nilpotence. This leads to a globally nilpotent Fuchsian system of rank two which does not belong to the known classes of globally nilpotent rank two systems. Moreover, we give a globally nilpotent Fuchsian system of rank seven whose differential Galois group is isomorphic to the exceptional simple algebraic group of type $G_2.$" @default.
- W4300463930 created "2022-10-03" @default.
- W4300463930 creator A5074553410 @default.
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- W4300463930 date "2006-05-15" @default.
- W4300463930 modified "2023-09-26" @default.
- W4300463930 title "On globally nilpotent differential equations" @default.
- W4300463930 doi "https://doi.org/10.48550/arxiv.math/0605383" @default.
- W4300463930 hasPublicationYear "2006" @default.
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