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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J.-P. Serre, Complex Semisimple Lie Algebras (Springer, Berlin, 2001).
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Original Russian Text © V.L. Popov, Yu.G. Zarhin, 2018, published in Doklady Akademii Nauk, 2018, Vol. 483, No. 4.
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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