Multilinear identities of the matrix ring
Multilinear identities of the matrix ring
Let <italic>V</italic> be a vector space over a field <italic>F</italic> of zero characteristic, which is acted upon by the symmetric group. Systems of generators for <italic>V</italic> are constructed, which have special symmetry and skew symmetry properties. This is applied to prove that every multilinear polynomial identity of degree <inline-formula content-type="math/mathml"> …