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On Alphabetic Presentations of Clifford Algebras and Their Possible Applications

Mathematical Physics 2010-01-15 v1 High Energy Physics - Theory math.MP Representation Theory

Abstract

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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Cite

@article{arxiv.0903.0940,
  title  = {On Alphabetic Presentations of Clifford Algebras and Their Possible Applications},
  author = {Francesco Toppan and Piet W. Verbeek},
  journal= {arXiv preprint arXiv:0903.0940},
  year   = {2010}
}

Comments

14 pages