@article{5c38ef4a4f4d4f378d9fb173b461d7f0,
title = "Root systems in number fields",
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 L(K) generated by Aut(K) and multiplications by the elements of K*. We also classify the Weyl groups of root systems of rank n which are isomorphic to a subgroup of L(K) for a number field K of degree n over Q.",
author = "Popov, {Vladimir L.} and Zarhin, {Yuri G.}",
note = "Funding Information: The second author is partially supported by a Simons Foundation Collaboration grant (no. 585711). Part of this work was done during his stay in May–July 2018 at the Max-Planck-Institut f{\"u}r Mathematik (Bonn, Germany), whose hospitality and support are gratefully acknowledged. Funding Information: Acknowledgements. The second author is partially supported by a Simons Foundation Collaboration grant (no. 585711). Part of this work was done during his stay in May–July 2018 at the Max-Planck-Institut f{\"u}r Mathematik (Bonn, Germany), whose hospitality and support are gratefully acknowledged. Publisher Copyright: {\textcopyright} 2021 Department of Mathematics, Indiana University. All rights reserved.",
year = "2021",
doi = "10.1512/iumj.2021.70.8257",
language = "English (US)",
volume = "70",
pages = "285--300",
journal = "Indiana University Mathematics Journal",
issn = "0022-2518",
publisher = "Indiana University",
number = "1",
}