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Coxeter arrangements are hereditarily free

open access: yesCoxeter arrangements are hereditarily free
openaire  

On the Invariants of the Cohomology of Complements of Coxeter Arrangements

open access: yes, 2018
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.
Douglass, J. Matthew   +2 more
openaire   +3 more sources

Primitive filtrations of the modules of invariant logarithmic forms of Coxeter arrangements [PDF]

open access: yesJournal of Algebra, 2011
We define primitive derivations for Coxeter arrangements which may not be irreducible. Using those derivations, we introduce the primitive filtrations of the module of invariant logarithmic differential forms for an arbitrary Coxeter arrangement with an ...
Takuro Abe, Hiroaki Terao
exaly   +2 more sources

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