Invariant CR Mappings between Hyperquadrics
Complex Variables
2018-11-14 v1
Abstract
We analyze a canonical construction of group-invariant CR Mappings between hyperquadrics due to D'Angelo. Given source hyperquadric of , we determine the signature of the target hyperquadric for all finite subgroups of . We also extend combinatorial results proven by Loehr, Warrington, and Wilf on determinants of sparse circulant determinants. We apply these results to study CR mappings invariant under finite subgroups of .
Keywords
Cite
@article{arxiv.1811.04978,
title = {Invariant CR Mappings between Hyperquadrics},
author = {Dusty Grundmeier and Kemen Linsuain and Brendan Whitaker},
journal= {arXiv preprint arXiv:1811.04978},
year = {2018}
}
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17 pages