  The Lie module of the group algebra $FS_n$ of the symmetric group is known to
be not projective if and only if the characteristic $p$ of $F$ divides $n$. We
show that in this case its non-projective summands belong to the principal
block of $FS_n$.
  Let $V$ be a vector space of dimension $m$ over $F$, and let $L^n(V)$ be the
$n$-th homogeneous part of the free Lie algebra on $V$; this is a polynomial
representation of $GL_m(F)$ of degree $n$, or equivalently, a module of the
Schur algebra $S(m,n)$. Our result implies that, when $m \geq n$, every summand
of $L^n(V)$ which is not a tilting module belongs to the principal block of
$S(m,n)$, by which we mean the block containing the $n$-th symmetric power of
$V$.
