Signature Pairs for Group-Invariant Hermitian Polynomials

preprint2010arXivOpen access

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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Signature Pairs for Group-Invariant Hermitian Polynomials

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