Abel's Theorem in the Noncommutative Case

Details Abel's Theorem in the Noncommutative Case Abel's Theorem in the Noncommutative Case

2005-09-28

arxiv.org/abs/math/0509673v1

J. Geom. Phys. 49, No.3-4, 463-493 (2004)

Mathematics

Quantum Algebra

30 pages

Scientific paper

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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