Wreath Product Action on Generalized Boolean Algebras
Copyright policy )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 diagonalize the commutant of this action.
Upper-Bounds, Terwilliger Algebra, Codes, Group actions on combinatorial structures, Combinatorial aspects of representation theory, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), Representation Theory (math.RT), Mathematics - Representation Theory
Upper-Bounds, Terwilliger Algebra, Codes, Group actions on combinatorial structures, Combinatorial aspects of representation theory, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), Representation Theory (math.RT), Mathematics - Representation Theory
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