Multivariate Diagonal Coinvariant Spaces for Complex Reflection Groups

Published 22 May 2011 in math.CO and math.RT | (1105.4358v4)

Abstract: For finite complex reflexion groups, we consider the graded $W$-modules of diagonally harmonic polynomials in $r$ sets of variables, and show that associated Hilbert series may be described in a global manner, independent of the value of $r$.

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Francois Bergeron

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