The problem of deciding the positivity of Kronecker coefficients and Saxl conjecture

Mahdi Ebrahimi

Given an positive integer $k$, let $n:=\left(\genfrac{}{}{0ex}{}{k+1}{2}\right)$. In 2012, during a talk at UCLA, Jan Saxl conjectured that all irreducible representations of the symmetric group $S_n$ occur…