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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.inria.fr/hal-00632267
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  • HAL Id : hal-00632267, version 2

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François Bergeron, Nicolas Borie, Nicolas M. Thiéry. Deformed diagonal harmonic polynomials for complex reflection groups. 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011), 2011, Reykjavik, Iceland. pp.135-146. ⟨hal-00632267v2⟩

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