@article{322,
abstract = {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.},
author = {Ganev, Iordan V},
journal = {Journal of Algebra},
pages = {92 -- 128},
publisher = {World Scientific Publishing},
title = {{Quantizations of multiplicative hypertoric varieties at a root of unity}},
doi = {10.1016/j.jalgebra.2018.03.015},
volume = {506},
year = {2018},
}