The strong Lefschetz property for coinvariant rings of finite reflection groups

Abstract

In this paper we prove that a deformed tensor product of two Lefschetz algebras is a Lefschetz algebra. We then use this result in conjunction with some basic Schubert calculus to prove that the coinvariant ring of a finite reflection has the strong Lefschetz property.

31 pages

References in corpus (2)

• The strong Lefschetz property of the coinvariant ring of the Coxeter group of type H4
• Strong Lefschetz elements of the coinvariant rings of finite Coxeter groups