The strong Lefschetz property for coinvariant rings of finite reflection groups

Details The strong Lefschetz property for coinvariant rings of finite reflection groups The strong Lefschetz property for coinvariant rings of finite reflection groups

2009-09-23

arxiv.org/abs/0909.4184v2

Mathematics

Commutative Algebra

31 pages

Scientific paper

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.

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