---
res:
bibo_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.@eng
bibo_authorlist:
- foaf_Person:
foaf_givenName: Iordan V
foaf_name: Ganev, Iordan V
foaf_surname: Ganev
foaf_workInfoHomepage: http://www.librecat.org/personId=447491B8-F248-11E8-B48F-1D18A9856A87
bibo_doi: 10.1016/j.jalgebra.2018.03.015
bibo_volume: 506
dct_date: 2018^xs_gYear
dct_language: eng
dct_publisher: World Scientific Publishing@
dct_title: Quantizations of multiplicative hypertoric varieties at a root of unity@
...