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Types of Root Systems in Number Fields

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Abstract

We classify the types of root systems R in the rings of integers of number fields K such that the Weyl group W(R) lies in the group generated by Aut(K) and multiplications by the elements of K*.

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References

  1. J.-P. Serre, Complex Semisimple Lie Algebras (Springer, Berlin, 2001).

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Authors and Affiliations

  1. Steklov Mathematical Institute of the Russian Academy of Sciences, Moscow, 119991, Russia

    V. L. Popov

  2. Higher School of Economics, National Research University, Moscow, 101000, Russia

    V. L. Popov

  3. Department of Mathematics, Pennsylvania State University, University Park, PA, 16802, USA

    Yu. G. Zarhin

Authors
  1. V. L. Popov
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  2. Yu. G. Zarhin
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Corresponding author

Correspondence to V. L. Popov.

Additional information

Original Russian Text © V.L. Popov, Yu.G. Zarhin, 2018, published in Doklady Akademii Nauk, 2018, Vol. 483, No. 4.

The article was translated by the authors.

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Popov, V.L., Zarhin, Y.G. Types of Root Systems in Number Fields. Dokl. Math. 98, 600–602 (2018). https://doi.org/10.1134/S1064562418070207

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  • DOI: https://doi.org/10.1134/S1064562418070207

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