A new wreath-module construction yields a 1-faithful quasi-hereditary cover (a q-Schur-type algebra) for the Hecke algebra H_q(W(D_{2m})), resolving the type-D case of the Ginzburg-Guay-Opdam-Rouquier conjecture.
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Quantum wreath products and Schur--Weyl duality II
A new wreath-module construction yields a 1-faithful quasi-hereditary cover (a q-Schur-type algebra) for the Hecke algebra H_q(W(D_{2m})), resolving the type-D case of the Ginzburg-Guay-Opdam-Rouquier conjecture.