Abstract
We analyze a canonical construction of group-invariant CR Mappings between hyperquadrics due to D’Angelo. Given source hyperquadric of $Q(1,1)$, we determine the signature of the target hyperquadric for all finite subgroups of $SU(1,1)$. 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 $U(1,1)$.
Citation
Dusty Grundmeier. Kemen Linsuain. Brendan Whitaker. "Invariant CR mappings between hyperquadrics." Illinois J. Math. 62 (1-4) 321 - 340, 2018. https://doi.org/10.1215/ijm/1552442665
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