# Mathematics Colloquia and Seminars

Consider the semigroup $S$ of triples $(a,b,c)$ of dominant weights of $GL(n,C)$ such that the tensor product of the irreducible representations $V_a$, $V_b$ and $V_c$ of $GL(n,C)$ contains trivial repesentation. Then $S$ is "saturated", i.e. a triple of dominant weights $s=(a,b,c)$ belongs to $S$ if and only if there exists a natural number $N$ such that $Ns$ belongs to $S$.