Mapping spaces and automorphism groups of toric noncommutative spaces

被引：0
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作者：
Gwendolyn E. Barnes
Alexander Schenkel
Richard J. Szabo
机构：
[1] Heriot-Watt University,Department of Mathematics
[2] Maxwell Institute for Mathematical Sciences,Fakultät für Mathematik
[3] The Higgs Centre for Theoretical Physics,School of Mathematical Sciences
[4] Universität Regensburg,undefined
[5] University of Nottingham,undefined
来源：
Letters in Mathematical Physics | 2017年 / 107卷
关键词：
Noncommutative geometry; Torus actions; Sheaves; Exponential objects; Automorphism groups; 16T05; 18F20; 53D55; 81R60;
D O I：
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摘要：
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.
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页码：1591 / 1628
页数：37
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