Deformed diagonal harmonic polynomials for complex reflection groups

نویسندگان

  • François Bergeron
  • Nicolas Borie
  • Nicolas M. Thiéry
چکیده

We introduce deformations of the space of (multi-diagonal) harmonic polynomials for any finite complex reflection group of the form W = G(m, p, n), and give supporting evidence that this space seems to always be isomorphic, as a graded W -module, to the undeformed version. Résumé. Nous introduisons une déformation de l’espace des polynômes harmoniques (multi-diagonaux) pour tout groupe de réflexions complexes de la forme W = G(m, p, n), et soutenons l’hypothèse que cet espace est toujours isomorphe, en tant que W -module gradué, à l’espace d’origine.

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تاریخ انتشار 2011