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Now showing items 11-14 of 14
The BMR freeness conjecture for the 2-reflection groups
(American Mathematical Society, 2016-10-12)
We prove the freeness conjecture of Broue, Malle and Rouquier for the Hecke algebras associated to the primitive complex 2-reflection groups with a single conjugacy class of reflections.
On the quiver presentation of the descent algebra of the symmetric group
(Elsevier, 2013-03-18)
We describe a presentation of the descent algebra of the symmetric group G(n) as a quiver with relations. This presentation arises from a new construction of the descent algebra as a homomorphic image of an algebra of ...
The Varchenko determinant of a Coxeter arrangement
(De Gruyter, 2018)
The Varchenko determinant is the determinant of a matrix defined from an arrangement of hyperplanes. Varchenko proved that this determinant has a beautiful factorization. It is, however, not possible to use this factorization ...
On the invariants of the cohomology of complements of Coxeter arrangements
(Elsevier, 2019-05-24)
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 ...