Metric Tannakian duality

JOURNAL OF GEOMETRY AND PHYSICS

卷:70

Article

Daenzer, Calder

关键词: T-duality;    Length spaces;    Metric spaces;    Tannaka duality;    Representation theory;   

DOI  :  10.1016/j.geomphys.2013.03.008

来源: Elsevier

【 摘 要 】

We incorporate metric data into the framework of Tannaka-Krein duality. Thus, for any group with left invariant metric, we produce a dual metric on its category of unitary representations. We characterize the conditions under which a double-dual metric on the group may be recovered from the metric on representations, and provide conditions under which a metric agrees with its double-dual. We also explore a diverse class of possible applications of the theory, including applications to T-duality and to quantum Gromov-Hausdorff distance. (C) 2013 Elsevier B.V. All rights reserved.

【 授权许可】

Free