THE TENSOR ALGEBRA OF THE IDENTITY REPRESENTATION AS A MODULE OVER THE LIE SUPERALGEBRAS Gl(n,\,m) AND $ Q(n)$

Let be the tensor algebra of the identity representation of the Lie superalgebras in the series and . 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 -(respectively, -) submodules of . The properties of the representations are studied on the basis of this correspondence. A formula is given for the characters on the irreducible -submodules of . Bibliography: 8 titles.