The tensor algebra of the identity representation as a module over the Lie superalgebras $\mathfrak Gl(n,m)$ and $Q(n)$

Let $T$ be the tensor algebra of the identity representation of the Lie superalgebras in the series $\mathfrak Gl$ and $Q$. The method of Weyl is used to construct a correspondence between the irreducible representations (respectively, the irreducible projective representations) of the symmetric group and the irreducible $\mathfrak Gl$- (respectively, $Q$-) submodules of $T$. The properties of the representations are studied on the basis of this correspondence. A formula is given for the characters on the irreducible $Q$-submodules of $T$.
Bibliography: 8 titles.