2022•arXiv (Cornell University)Open access

Constructing Group-Invariant CR Mappings

Jennifer D. Brooks, Sean Curry, Dusty Grundmeier, Purvi Gupta, Valentin Kunz, Alekzander Malcom, Kevin Palencia

Abstract

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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Key concepts: Invariant (physics), Unitary state, Mathematics, Pure mathematics, Invariant polynomial, Unitary group, SPHERES, Group (periodic table)