1 research outputs found
Strong Lefschetz elements of the coinvariant rings of finite Coxeter groups
For the coinvariant rings of finite Coxeter groups of types other than H,
we show that a homogeneous element of degree one is a strong Lefschetz element
if and only if it is not fixed by any reflections. We also give the necessary
and sufficient condition for strong Lefschetz elements in the invariant
subrings of the coinvariant rings of Weyl groups.Comment: 18 page