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==Definition==
Fix a partition λ of ''n'' and a commutative ring ''k''.
A '''tabloid''' is an equivalence class of Young tableaux where two labellings are equivalent if one is obtained from the other by permuting the entries of each row. For each Young tableau ''T'' of shape λ let <math>\{T\}</math> be the corresponding tabloid. The symmetric group on ''n'' points acts on the set of Young tableaux of shape λ. Consequently, it acts on tabloids, and on the
Given a Young tableau ''T'' of shape λ, let
