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Abel's Theorem in the Noncommutative Case

Frank Leitenberger
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Abstract

We define noncommutative binary forms. Using the typical representation of Hermite we prove the fundamental theorem of algebra and we derive a noncommutative Cardano formula for cubic forms. We define quantized elliptic and hyperelliptic differentials of the first kind. Following Abel we prove Abel's Theorem.

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Frank Leitenberger. 2005-09-28. Abel's Theorem in the Noncommutative Case. https://doi.org/10.1016/j.geomphys.2003.08.002

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