Multivariate Diagonal Coinvariant Spaces for Complex Reflection Groups

2011/05/22 by Bergeron, Francois · 3 citations
#05E05 #05E10 #Combinatorics (math.CO) #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1105.4358

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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• Bosonic content of three-fermion high-spin states
• Universal series for dihedral group coinvariant rings
• Polynomiality of Subdimensions of Diagonal Harmonics and a Sharp Stability Bound

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