Branching properties for the groups G(de,e,r)
classification
🧮 math.RT
math.CO
keywords
combinatorialgroupspropertiesamountsarisebranchingchangescomplex
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We study general properties of the restriction of the representations of the finite complex reflection groups $G(de,e,r+1)$ to their maximal parabolic subgroups of type $G(de,e,r)$, and focus notably on the multiplicity of components. In combinatorial terms, this amounts to the following question : which symmetries arise or disappear when one changes (exactly) one pearl in a combinatorial necklace ?
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