Representation theory of symmetric groups and the strong Lefschetz property

Seok-Jin Kang, Young-Rock Kim, Yong-Su Shin

We investigate the structure and properties of an Artinian monomial complete intersection quotient $A(n,d)=\mathbf{k}[x_1,\dots ,x_n]/(x_1^d,\dots ,x_n^d)$. W…