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math.RT2008★ 25 cited
Strong Lefschetz elements of the coinvariant rings of finite Coxeter groups
Toshiaki Maeno, Yasuhide Numata, Akihito Wachi
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 no…
math.RT2007★ 30 cited
The strong Lefschetz property of the coinvariant ring of the Coxeter group of type H4
Yasuhide Numata, Akihito Wachi
We prove that the coinvariant ring of the irreducible Coxeter group of type H4 has the strong Lefschetz property.