摘要

Let r be a finite group of unitary matrices on V. For z E C", the Hermitian symmetric polynomial cb(z, f) = 1 nyEro - (yz, z)) has been used to construct group-invariant CR-mappings from the sphere to hyperquadrics. We show that the ensuing mappings always contain a complete system of fundamental invariants. This result gives a new algorithm for computing systems of fundamental invariants in invariant rings. A special instance for certain cyclic representations illuminates work by Loehr, Warrington and Wilf who made no mention of invariant theory.

  • 出版日期2014-1-1

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