Mapping spaces and automorphism groups of toric noncommutative spaces
Quantum Algebra
2017-08-22 v2 High Energy Physics - Theory
Mathematical Physics
Category Theory
math.MP
Abstract
We develop a sheaf theory approach to toric noncommutative geometry which allows us to formalize the concept of mapping spaces between two toric noncommutative spaces. As an application we study the `internalized' automorphism group of a toric noncommutative space and show that its Lie algebra has an elementary description in terms of braided derivations.
Keywords
Cite
@article{arxiv.1606.04775,
title = {Mapping spaces and automorphism groups of toric noncommutative spaces},
author = {Gwendolyn E. Barnes and Alexander Schenkel and Richard J. Szabo},
journal= {arXiv preprint arXiv:1606.04775},
year = {2017}
}
Comments
30 pages. v2: Final version published in Letters in Mathematical Physics