Cayley-Dickson Construction

Artur Korniłowicz

Formalized Mathematics (2012)

  • Volume: 20, Issue: 4, page 281-290
  • ISSN: 1426-2630

Abstract

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Cayley-Dickson construction produces a sequence of normed algebras over real numbers. Its consequent applications result in complex numbers, quaternions, octonions, etc. In this paper we formalize the construction and prove its basic properties.

How to cite

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Artur Korniłowicz. "Cayley-Dickson Construction." Formalized Mathematics 20.4 (2012): 281-290. <http://eudml.org/doc/268274>.

@article{ArturKorniłowicz2012,
abstract = {Cayley-Dickson construction produces a sequence of normed algebras over real numbers. Its consequent applications result in complex numbers, quaternions, octonions, etc. In this paper we formalize the construction and prove its basic properties.},
author = {Artur Korniłowicz},
journal = {Formalized Mathematics},
language = {eng},
number = {4},
pages = {281-290},
title = {Cayley-Dickson Construction},
url = {http://eudml.org/doc/268274},
volume = {20},
year = {2012},
}

TY - JOUR
AU - Artur Korniłowicz
TI - Cayley-Dickson Construction
JO - Formalized Mathematics
PY - 2012
VL - 20
IS - 4
SP - 281
EP - 290
AB - Cayley-Dickson construction produces a sequence of normed algebras over real numbers. Its consequent applications result in complex numbers, quaternions, octonions, etc. In this paper we formalize the construction and prove its basic properties.
LA - eng
UR - http://eudml.org/doc/268274
ER -

References

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