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Abel's Theorem in the Noncommutative Case

量子代数 2015-06-26 v1

摘要

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.

关键词

引用

@article{arxiv.math/0509673,
  title  = {Abel's Theorem in the Noncommutative Case},
  author = {Frank Leitenberger},
  journal= {arXiv preprint arXiv:math/0509673},
  year   = {2015}
}

备注

30 pages