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Explicit Matrix Realization of Clifford Algebras

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Abstract

In this paper, we construct associative subalgebras \({{L_{2}}{n}(\mathbb{R})}\) of the real \({2^{n} \times 2^{n}}\) matrix algebra \({{M_{2}}{n}(\mathbb{R})}\), which is isomorphic to the real Clifford algebra \({C \ell_{0},n}\) for every \({n \in N}\).

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Authors and Affiliations

  1. Department of Mathematics Education, Hanyang University, Seoul, 133-791, Republic of Korea

    Doohann Lee

  2. Department of Mathematics, Kwangwoon University, Seoul, 139-701, Republic of Korea

    Youngkwon Song

Authors
  1. Doohann Lee
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  2. Youngkwon Song
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Corresponding author

Correspondence to Youngkwon Song.

Additional information

The present research has been conducted by the Research Grant of Kwangwoon University in 2012.

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Lee, D., Song, Y. Explicit Matrix Realization of Clifford Algebras. Adv. Appl. Clifford Algebras 23, 441–451 (2013). https://doi.org/10.1007/s00006-013-0382-8

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  • DOI: https://doi.org/10.1007/s00006-013-0382-8

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