A new proof of Stanley's theorem on the strong Lefschetz property

Ho V. N. Phuong, Quang Hoa Tran

A standard graded artinian monomial complete intersection algebra $A=\mathbb{k}[x_1,x_2,\dots ,x_n]/(x_1^{a_1},x_2^{a_2},\dots ,x_n^{a_n})$, with $\mathbb{k}$ a field of characteristic zero,…