Signature Pairs for Group-Invariant Hermitian Polynomials

Mathematics – Complex Variables

Scientific paper

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28 pages. Accepted in the International Journal of Mathematics

Scientific paper

We study the signature pair for certain group-invariant Hermitian polynomials
arising in CR geometry. In particular, we determine the signature pair for the
finite subgroups of $SU(2)$. We introduce the asymptotic positivity ratio and
compute it for cyclic subgroups of $U(2)$. We calculate the signature pair for
dihedral subgroups of $U(2)$.

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