Pascal's Theorem and Quantum Deformation

Details Pascal's Theorem and Quantum Deformation Pascal's Theorem and Quantum Deformation

2005-09-28

arxiv.org/abs/math/0509672v1

Lett. Math. Phys. 51, No.1, 47-53 (2000)

Mathematics

Quantum Algebra

6 pages

Scientific paper

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 invariant of six quadratic forms. Using the
q-deformed invariant theory of \cite{L} we construct corresponding quantum
invariants by a computer calculation.

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