Parafermi Algebra and Interordinality

Details Parafermi Algebra and Interordinality Parafermi Algebra and Interordinality

2006-08-16

arxiv.org/abs/math/0608423v31

Mathematics

Representation Theory

38 pages, LaTeX2e. (v30)-(v31) sections 5.4 & 7.4 on the role of kissing numbers revised; (v23)-(v29) elaboration on the role

Scientific paper

Starting out with the observation that for neighboring orders $p=2^{n}-1$,
$p'=2^{n+1}-1$ of the well-known Green's representations of parafermi algebra
there exists a specifiable interordinal relationship, matrices with similar
interordinality properties and intrinsic Catalan structure are constructed
which seem to have a bearing on Euclidean geometry.

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