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arxiv: 1105.4358 · v4 · pith:4B6MOI3Onew · submitted 2011-05-22 · 🧮 math.CO · math.RT

Multivariate Diagonal Coinvariant Spaces for Complex Reflection Groups

classification 🧮 math.CO math.RT
keywords complexgroupsassociatedcoinvariantconsiderdescribeddiagonaldiagonally
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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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