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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A new simple Lie algebra of characteristic three
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by Marguerite Frank PDF
Proc. Amer. Math. Soc. 38 (1973), 43-46 Request permission

Abstract:

We define a restricted simple algebra $T$ of dimension 18 over an arbitrary field of characteristic 3. From a certain property of its Cartan decomposition, we show $T$ to be nonisomorphic to any known algebra of identical dimension.
References
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Additional Information
  • © Copyright 1973 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 38 (1973), 43-46
  • MSC: Primary 17B20
  • DOI: https://doi.org/10.1090/S0002-9939-1973-0314924-0
  • MathSciNet review: 0314924