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Deformed diagonal harmonic polynomials for complex reflection groups

Abstract : 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.
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https://hal.archives-ouvertes.fr/hal-00632267
Contributor : Nicolas M. Thiéry <>
Submitted on : Thursday, October 13, 2011 - 11:06:36 PM
Last modification on : Wednesday, November 4, 2020 - 3:37:01 AM

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  • HAL Id : hal-00632267, version 1
  • ARXIV : 1011.3654

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François Bergeron, Nicolas Borie, Nicolas M. Thiéry. Deformed diagonal harmonic polynomials for complex reflection groups. Discrete Mathematics and Theoretical Computer Science, DMTCS, 2011, pp.dmAO0113. ⟨hal-00632267v1⟩

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