10 citations · 16 across the 6 of their papers we have counts for
6 papers
Quantum Lobachevsky Planes
Frank Leitenberger
We classify all SL(2,R)-covariant Poisson structures on the Lobachevsky plane with respect to all multiplicative Poisson structures on SL(2,R) and describe Quantisations for all th…
Quantum theory of the real and the complexified projective line
Frank Leitenberger
Quantum deformations of sets of points of the real and the complexified projective line are constructed. These deformations depend on the deformation parameter q and certain furthe…
Abel's Theorem in the Noncommutative Case
Frank Leitenberger
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 cu…
Pascal's Theorem and Quantum Deformation
Frank Leitenberger
By a transfer principle Pascal's Theorem is equivalent to a theorem about point pairs on the real line. It appears that Pascal's Theorem is equivalent to the vanishing of a common…
About the group law for the Jacobi variety of a hyperelliptic curve
Frank Leitenberger
We generalize the group law of curves of degree three by chords and tangents to the Jacobi variety of a hyperelliptic curve. In the case of genus 2 we accomplish the construction b…
The group law for the Jacobi variety of plane curves
Frank Leitenberger
We extend the group law of curves of degree three by chords and tangents to the Jacobi variety of plane curves of degree n>4 by replacing points by point groups and lines by algebr…