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有限コクセター群の余不変式環の強レフシェッツ元 (Strong Lefschetz elements of coinvariant rings of finite Coxeter groups)

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  • 16-Xx Associative Rings And Algebras

Abstract

For coinvariant rings of finite Coxeter groups, we show that strong Lefschetz elements are not fixed by any reflections. When the group is a Weyl group, we prove that an element is a strong Lefschetz element if and only if the element is not fixed by any reflections.

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