Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1892886 | Journal of Geometry and Physics | 2013 | 9 Pages |
Abstract
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 TT-duality and to quantum Gromov–Hausdorff distance.
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Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Calder Daenzer,