Arnold′s Projective Plane and r‐Matrices

K. Uchino

Advances in Mathematical Physics, 2010, vol. 2010, issue 1

Abstract: We will explain Arnold′s 2‐dimensional (shortly, 2D) projective geometry (Arnold, 2005) by means of lattice theory. It will be shown that the projection of the set of nontrivial triangular r‐matrices is the pencil of tangent lines of a quadratic curve on Arnold′s projective plane.

Date: 2010
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https://doi.org/10.1155/2010/956128

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2010:y:2010:i:1:n:956128

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