有限コクセター群の余不変式環の強レフシェッツ元(Strong Lefschetz elements of coinvariant rings of finiteCoxeter groups)

摘要

For coinvariant rings of finite Coxeter groups, we show that strongLefschetz elements are not fixed by any reflections. When the group isa Weyl group, we prove that an element is a strong Lefschetz elementif and only if the element is not fixed by any reflections.