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Pascal's Theorem and Quantum Deformation

2005/09/28 by Frank Leitenberger
Mathematics · #math.QA #msc:13A50 #msc:17B37

paper · pdf

published as Lett. Math. Phys. 51, No.1, 47-53 (2000) · 6 pages

arxiv created 2005/09/28 · arxiv updated 2009/12/01

Abstract

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 \citeL we construct corresponding quantum invariants by a computer calculation.

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