Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8896004 | Journal of Algebra | 2018 | 37 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Iordan Ganev,