23 citations · 91 across the 17 of their papers we have counts for
17 papers · 1 filter
Cohomology of the hyperplane complement of a quaternionic reflection group
Stephen Griffeth, David Guevara
We compute the graded rank of the cohomology of the hyperplane complement associated with a quaternionic reflection group, and observe that it factors into irreducible factors with…
Zero fibers of quaternionic quotient singularities
Lien Cartaya, Stephen Griffeth
We propose a generalization of Haiman's conjecture on the diagonal coinvariant rings of real reflection groups to the context of irreducible quaternionic reflection groups (also kn…
The diagonal coinvariant ring of a complex reflection group
Stephen Griffeth
For an irreducible complex reflection group of rank containing reflections, we put and construct a -dimensional irreducible representation of the Cher…
Representation theory and the diagonal coinvariant ring of the type B Weyl group
Carlos Ajila, Stephen Griffeth
We explain how to use representation theory to give a lower bound on the dimension of the quotient ring by type diagonal invariants that improves upon the current known lower…
Unitary representations of the Cherednik algebra: -homology
Susanna Fishel, Stephen Griffeth, Elizabeth Manosalva
We give a non-negative combinatorial formula, in terms of Littlewood-Richardson numbers, for the homology of the unitary representations of the cyclotomic rational Cherednik algebr…
Subspace arrangements and Cherednik algebras
Stephen Griffeth
The purpose of this article is to study the relationship between numerical invariants of certain subspace arrangements coming from reflection groups and numerical invariants arisin…