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*.

About the authors

V. L. Popov

Steklov Mathematical Institute of the Russian Academy of Sciences; Higher School of Economics

Author for correspondence.
Email: popovvl@mi.ras.ru
Russian Federation, Moscow, 119991; Moscow, 101000

Yu. G. Zarhin

Department of Mathematics

Email: popovvl@mi.ras.ru
United States, University Park, PA, 16802

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