Abel's Theorem in the Noncommutative Case
arXiv:math/0509673 · doi:10.1016/j.geomphys.2003.08.002
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.
30 pages