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The Magic Square of Lie Groups: The 2 × 2 Case

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Abstract

A unified treatment of the 2 × 2 analog of the Freudenthal–Tits magic square of Lie groups is given, providing an explicit representation in terms of matrix groups over composition algebras.

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Authors and Affiliations

  1. Department of Mathematics, Oregon State University, Corvallis, OR, 97331, USA

    Tevian Dray

  2. CAMGSD, Instituto Superior Técnico, 1049-001, Lisboa, Portugal

    John Huerta

  3. Department of Physics, Oregon State University, Corvallis, OR, 97331, USA

    Joshua Kincaid

Authors
  1. Tevian Dray
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  2. John Huerta
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  3. Joshua Kincaid
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Correspondence to Tevian Dray.

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Dray, T., Huerta, J. & Kincaid, J. The Magic Square of Lie Groups: The 2 × 2 Case. Lett Math Phys 104, 1445–1468 (2014). https://doi.org/10.1007/s11005-014-0720-3

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  • DOI: https://doi.org/10.1007/s11005-014-0720-3

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