Some New Methods in the Theory of m-Quasi-Invariants

نویسندگان

  • J. Bell
  • Adriano M. Garsia
  • Nolan Wallach
چکیده

We introduce here a new approach to the study of m-quasi-invariants. This approach consists in representing m-quasi-invariants as N tuples of invariants. Then conditions are sought which characterize such N tuples. We study here the case of S3 m-quasi-invariants. This leads to an interesting free module of triplets of polynomials in the elementary symmetric functions e1, e2, e3 which explains certain observed properties of S3 m-quasi-invariants. We also use basic results on finitely generated graded algebras to derive some general facts about regular sequences of Sn m-quasi-invariants

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عنوان ژورنال:
  • Electr. J. Comb.

دوره 11  شماره 

صفحات  -

تاریخ انتشار 2005