Brooks, J and Curry, S and Grundmeier, D and Gupta, P and Kunz, V and Malcom, A and Palencia, K (2022) Constructing group-invariant CR mappings. In: Complex Analysis and its Synergies, 8 (4).
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Official URL: https://doi.org/10.1007/s40627-022-00104-4
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.
| Item Type: | Journal Article |
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| Publication: | Complex Analysis and its Synergies |
| Publisher: | Springer International Publishing |
| Additional Information: | The copyright for this article belongs to the Authors. |
| Keywords: | CR mappings; Group-invariant; Sphere mappings; Unitary groups |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 08 Oct 2022 04:03 |
| Last Modified: | 08 Oct 2022 04:03 |
| URI: | https://eprints.iisc.ac.in/id/eprint/77275 |
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