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Clifford Algebras and Their Applications in Mathematical Physics pp 293–312Cite as

Algebraic Ideas in Fundamental Physics from Dirac-Algebra to Superstrings

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Part of the book series: NATO ASI Series ((ASIC,volume 183))

Abstract

It is suggested that algebraic methods are especially appropriate for the introduction of new physical concepts in physical theories. Examples are given to illustrate this procedure. It has been previously been used to introduce para statistics and supersymmetry. It is proposed here that a deep connection exists between Kac-Moody algebra’s, Clifford algebras strings, and integrable systems.

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References

  1. J. V. Neumann and G.D. Birkhoff, Annals of Math 37. 023, 1936.

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  6. N. Salingaros, M. Dresden, Phys. Rev. Letters 43, 1, 1979. Actually the new “V” multiplication defined there wasn’t so new. It only appeared that way because the authors were unaware of the next important reference. It is late, but at least one of the authors wishes to apologize for this oversight.

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  8. This was first observed by Gervais. (preprint)

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Author information

Authors and Affiliations

  1. Institute for Theoretical Physics, State University of New York at Stony Brook, Stony Brook, New York, USA

    M. Dresden

Authors
  1. M. Dresden
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Editor information

Editors and Affiliations

  1. Mathematical Institute, University of Kent, Canterbury, Kent, UK

    J. S. R. Chisholm  & A. K. Common  & 

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© 1986 D. Reidel Publishing Company

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Dresden, M. (1986). Algebraic Ideas in Fundamental Physics from Dirac-Algebra to Superstrings. In: Chisholm, J.S.R., Common, A.K. (eds) Clifford Algebras and Their Applications in Mathematical Physics. NATO ASI Series, vol 183. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-4728-3_25

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  • DOI: https://doi.org/10.1007/978-94-009-4728-3_25

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-8602-8

  • Online ISBN: 978-94-009-4728-3

  • eBook Packages: Springer Book Archive

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