Wreath product action on generalized Boolean algebras
  Let G be a finite group acting on the finite set X such that the corresponding (complex) permutation representation is multiplicity free. There is a natural rank and order preserving action of the wreath product G~S_n on the generalized Boolean algebra B_X(n). We explicitly block diagonalize the commutant of this action. 
Ashish Mishra and Murali K. Srinivasan
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