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arxiv: 1810.02563 · v2 · pith:MIUO5MY6new · submitted 2018-10-05 · 🧮 math.RT · math.CO· math.GR

On the Invariants of the Cohomology of Complements of Coxeter Arrangements

classification 🧮 math.RT math.COmath.GR
keywords cohomologycoxeterinvariantsarrangementarrangementsbasisbrieskorncomplement
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We refine Brieskorn's study of the cohomology of the complement of the reflection arrangement of a finite Coxeter group $W$. As a result we complete the verification of a conjecture by Felder and Veselov that gives an explicit basis of the space of $W$-invariants in this cohomology ring.

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