English

Signature Pairs for Group-Invariant Hermitian Polynomials

Complex Variables 2010-04-13 v1

Abstract

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)SU(2). We introduce the asymptotic positivity ratio and compute it for cyclic subgroups of U(2)U(2). We calculate the signature pair for dihedral subgroups of U(2)U(2).

Keywords

Cite

@article{arxiv.1004.1860,
  title  = {Signature Pairs for Group-Invariant Hermitian Polynomials},
  author = {Dusty Grundmeier},
  journal= {arXiv preprint arXiv:1004.1860},
  year   = {2010}
}

Comments

28 pages. Accepted in the International Journal of Mathematics