François Bergeron ; Nicolas Borie ; Nicolas M. Thiéry - Deformed diagonal harmonic polynomials for complex reflection groups

dmtcs:2897 - Discrete Mathematics & Theoretical Computer Science, January 1, 2011, DMTCS Proceedings vol. AO, 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011) - https://doi.org/10.46298/dmtcs.2897
Deformed diagonal harmonic polynomials for complex reflection groupsConference paper

Authors: François Bergeron 1; Nicolas Borie 2; Nicolas M. Thiéry ORCID2

  • 1 Laboratoire de combinatoire et d'informatique mathématique [Montréal]
  • 2 Laboratoire de Mathématiques d'Orsay

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.

https://doi.org/10.46298/dmtcs.2897
Source: HAL:hal-00632267v2
Volume: DMTCS Proceedings vol. AO, 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011)
Section: Proceedings
Published on: January 1, 2011
Imported on: January 31, 2017
Keywords: diagonal harmonic polynomials,complex reflection group,rational Steenrod algebra,deformations,[MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO],[INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM]

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