Wreath product action on generalized Boolean algebras
Representation Theory
2014-10-31 v1 Combinatorics
Abstract
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.
Keywords
Cite
@article{arxiv.1410.8270,
title = {Wreath product action on generalized Boolean algebras},
author = {Ashish Mishra and Murali K. Srinivasan},
journal= {arXiv preprint arXiv:1410.8270},
year = {2014}
}
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18 pages