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On Alphabetic Presentations of Clifford Algebras and Their Possible Applications

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arxiv 0903.0940 v1 pith:MRW4TAIM submitted 2009-03-05 math-ph hep-thmath.MPmath.RT

classification math-phhep-thmath.MPmath.RT
keywords algebrasalphabeticcliffordpresentationsapplicationscharacterpossibleproblem
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In this paper we address the problem of constructing a class of representations of Clifford algebras that can be named "alphabetic (re)presentations". The Clifford algebras generators are expressed as m-letter words written with a 3-character or a 4-character alphabet. We formulate the problem of the alphabetic presentations, deriving the main properties and some general results. At the end we briefly discuss the motivations of this work and outline some possible applications.

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  1. On the Classification of the L\'evy-Leblond Spinors

    math-ph 2024-11 conditional novelty 6.0 of 10

    Lévy-Leblond spinors come in real, complex, quaternionic, and chiral types, and the 1+1 conformal case realizes the osp(1|2) superalgebra.

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