In this paper, we give a characterization of the Lefschetz elements in a coinvariant algebra of an arbitrary complex reflection group which contains a binary polyhedral group as a subgroup of index 2. In addition, we examine the relation between the set of the non-strong Lefschetz elements and polyhedra.
"The Lefschetz Elements of Coinvariant Algebras of Binary Polyhedral Groups." Tokyo J. Math. 36 (2) 309 - 336, December 2013. https://doi.org/10.3836/tjm/1391177973