Weyl groups and root systems in number fields
We classify the types of root systems R in the rings of integers O_K of number fields K such that the Weyl
group W(R) lies in the group generated by field automorphisms and multiplications by nonzero elements of K.
We also classify number fields K such that the lattice O_K provided with a trace-like form is isometric or similar to a root lattice.
This is a report on a joint work with Vladimir Popov (Steklov Institute, Moscow).
תאריך עדכון אחרון : 12/12/2019