Reconstruction of Hidden Symmetries
| dc.creator | Pareigis, Bodo | |
| dc.date | 1994-12-09 | |
| dc.date | 1994-12-13 | |
| dc.date.accessioned | 2026-07-07T09:03:53Z | |
| dc.date.available | 2026-07-07T09:03:53Z | |
| dc.description | Representations of a group $G$ in vector spaces over a field $K$ form a category. One can reconstruct the given group $G$ from its representations to vector spaces as the full group of monoidal automorphisms of the underlying functor. This is a special example of Tannaka-Krein theory. This theory was used in recent years to reconstruct quantum groups (quasitriangular Hopf algebras) in the study of algebraic quantum field theory and other applications. We show that a similar study of representations in spaces with additional structure (super vector spaces, graded vector spaces, comodules, braided monoidal categories) produces additional symmetries, called ``hidden symmetries''. More generally, reconstructed quantum groups tend to decompose into a smash product of the given quantum group and a quantum group of ``hidden'' symmetries of the base category. | |
| dc.description | 42 pages, amslatex, figures generated with bezier.sty, replaced to facilitate mailing | |
| dc.identifier | https://arxiv.org/abs/hep-th/9412085 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9412085 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/149180 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Reconstruction of Hidden Symmetries | |
| dc.type | text |