TY - JOUR
AB - We construct quantizations of multiplicative hypertoric varieties using an algebra of q-difference operators on affine space, where q is a root of unity in C. The quantization defines a matrix bundle (i.e. Azumaya algebra) over the multiplicative hypertoric variety and admits an explicit finite étale splitting. The global sections of this Azumaya algebra is a hypertoric quantum group, and we prove a localization theorem. We introduce a general framework of Frobenius quantum moment maps and their Hamiltonian reductions; our results shed light on an instance of this framework.
AU - Ganev, Iordan V
ID - 322
JF - Journal of Algebra
TI - Quantizations of multiplicative hypertoric varieties at a root of unity
VL - 506
ER -