Wreath Product Action on Generalized Boolean Algebras

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 $G\sim S_n$ on the generalized Boolean algebra $B_X(n)$. We explicitly block diagona...

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Veröffentlicht in:The Electronic journal of combinatorics 2015-06, Vol.22 (2)
Hauptverfasser: Mishra, Ashish, Srinivasan, Murali K.
Format: Artikel
Sprache:eng
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Zusammenfassung: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 $G\sim S_n$ on the generalized Boolean algebra $B_X(n)$. We explicitly block diagonalize the commutant of this action.
ISSN:1077-8926
1077-8926
DOI:10.37236/4831