Mapping spaces and automorphism groups of toric noncommutative spaces

Barnes, Gwendolyn E. and Schenkel, Alexander and Szabo, Richard J. (2017) Mapping spaces and automorphism groups of toric noncommutative spaces. LETTERS IN MATHEMATICAL PHYSICS, 107 (9). pp. 1591-1628. ISSN 0377-9017, 1573-0530

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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.

Item Type: Article
Uncontrolled Keywords: NONLINEAR SIGMA-MODELS; ALGEBRAIC DEFORMATIONS; MODULI SPACES; GEOMETRY; INSTANTONS; MANIFOLDS; CONNECTIONS; Noncommutative geometry; Torus actions; Sheaves; Exponential objects; Automorphism groups
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics
Mathematics > Prof. Dr. Ulrich Bunke
Depositing User: Dr. Gernot Deinzer
Date Deposited: 14 Dec 2018 13:15
Last Modified: 21 Mar 2019 16:22
URI: https://pred.uni-regensburg.de/id/eprint/1334

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