• Corpus ID: 195699879

Expository paper on Clifford algebras ,representations , and the octonion algebra

@article{Suarez2019ExpositoryPO,
  title={Expository paper on Clifford algebras ,representations , and the octonion algebra},
  author={Ricardo Suarez},
  journal={arXiv: Representation Theory},
  year={2019}
}
  • R. Suarez
  • Published 27 June 2019
  • Mathematics
  • arXiv: Representation Theory
This paper is meant to be an informative introduction to spinor representations of Clifford algebras. In this paper we will have a look at Clifford algebras and the octonion algebra. We begin the paper looking at the quaternion algebra $\mathbb{H}$ and basic properties that relate Clifford algebras and the well know Pin and Spin groups. We then will look at generalized spinor representations of Clifford algebras, along with many examples. We conclude the paper looking at the octonion algebra… 

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References

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The Clifford algebras of real quadratic forms and their complexifications are studied here in detail, and those parts which are immediately relevant to theoretical physics are seen in the proper

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