Signature Pairs for Group-Invariant Hermitian Polynomials

2010/04/12 by DUSTY GRUNDMEIER, Dusty Grundmeier, Grundmeier, Dusty · 2 citations
Mathematics · #32H02 #32H35 #Complex Variables (math.CV) #FOS: Mathematics #math.CV #msc:32H02 #msc:32H35

paper · pdf · doi:10.48550/arxiv.1004.1860

28 pages. Accepted in the International Journal of Mathematics

arxiv created 2010/04/12 · arxiv updated 2010/04/13

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). 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).

Cited by

• Invariant polynomials, gaps, and sparseness
• Group-Invariant CR maps of the sphere \mathbbS⁵

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