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arXiv · 1401.7751

The representation theory of generalized hyperoctahedral groups

William McGovern·James Pfeiffer
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Abstract

We give an explicit decomposition of $\hbox{Ind}(1)_{B_n}^{S_{2n}}$, following Barbasch and Vogan [1]. We define two natural generalizations of $B_n$, and extend the proof in [1] to recursively compute these decompositions. Although the decompositions do not appear to follow a simple pattern, we prove enough of their structure to show that they are almost never multiplicity-free.

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William McGovern, James Pfeiffer. 2014-01-30. The representation theory of generalized hyperoctahedral groups. https://arxiv.org/abs/1401.7751

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