Geodesic
The tensor algebra of the identity representation as a module over the Lie superalgebras $\mathfrak Gl(n,m)$ and $Q(n)$
Sbornik. Mathematics, Tome 51 (1985) no. 2, pp. 419-427 
A. N. Sergeev. The tensor algebra of the identity representation as a module over the Lie superalgebras $\mathfrak Gl(n,m)$ and $Q(n)$. Sbornik. Mathematics, Tome 51 (1985) no. 2, pp. 419-427. http://geodesic.mathdoc.fr/item/SM_1985_51_2_a6/
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     author = {A. N. Sergeev},
     title = {The tensor algebra of the identity representation as a~module over the {Lie} superalgebras $\mathfrak Gl(n,m)$ and~$Q(n)$},
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

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