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Real projective representations of real Clifford algebras and reflection groups

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Part of the book series: Fundamental Theories of Physics ((FTPH,volume 47))

Abstract

The first author’s earlier work which showed how Clifford algebras could be used to construct the basic spin representations and characters of reflection groups over the field of complex numbers is now extended to the field of real numbers.

Notation. R, C, H denote the reals, complexes and quaternions, respectively. If K is any field, K n denotes the n -dimensional vector space over K and K(n) denotes the matrix algebra of n × n matrices over K.

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References

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© 1992 Springer Science+Business Media Dordrecht

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Morris, A.O., Makhool, M.K. (1992). Real projective representations of real Clifford algebras and reflection groups. In: Micali, A., Boudet, R., Helmstetter, J. (eds) Clifford Algebras and their Applications in Mathematical Physics. Fundamental Theories of Physics, vol 47. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8090-8_8

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  • DOI: https://doi.org/10.1007/978-94-015-8090-8_8

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-4130-2

  • Online ISBN: 978-94-015-8090-8

  • eBook Packages: Springer Book Archive

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