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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.

preprint2014arXivOpen access
Ashish MishraMurali K. Srinivasan
math.COmath.RT
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Ashish MishraMurali K. Srinivasan

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