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Constructing Group-Invariant CR Mappings

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arxiv 2203.03494 v1 pith:LHWF57MW submitted 2022-03-07 math.CV

Jennifer Brooks , Sean Curry , Dusty Grundmeier , Purvi Gupta , Valentin Kunz , Alekzander Malcom , Kevin Palencia This is my paper
classification math.CV
keywords mappingsgroup-invariantinvariantactionsangelocanonicalcombineconstruct
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We construct CR mappings between spheres that are invariant under actions of finite unitary groups. In particular, we combine a tensoring procedure with D'Angelo's construction of a canonical group-invariant CR mapping to obtain new invariant mappings. We also explore possible gap phenomena in this setting.

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