Quantum Moment Map and Invariant Integration Theory on Quantum Spaces

It is shown that, on the one hand, quantum moment maps give rise to examples for the operator-theoretic approach to invariant integration theory developed by K.-D. Kürsten and the second author, and that, on the other hand, the operator-theoretic approach to invariant integration theory is more gene...

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Main Authors: O. Osuna Castro, E. Wagner
Format: Article
Language:English
Published: CTU Central Library 2011-01-01
Series:Acta Polytechnica
Subjects:
Online Access:https://ojs.cvut.cz/ojs/index.php/ap/article/view/1350
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author O. Osuna Castro
E. Wagner
author_facet O. Osuna Castro
E. Wagner
author_sort O. Osuna Castro
collection DOAJ
description It is shown that, on the one hand, quantum moment maps give rise to examples for the operator-theoretic approach to invariant integration theory developed by K.-D. Kürsten and the second author, and that, on the other hand, the operator-theoretic approach to invariant integration theory is more general since it also applies to examples without a well-defined quantum moment map.
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spelling doaj.art-4d1ffa23c3d142f2aadf2a037b05614e2022-12-22T01:50:35ZengCTU Central LibraryActa Polytechnica1210-27091805-23632011-01-015121350Quantum Moment Map and Invariant Integration Theory on Quantum SpacesO. Osuna CastroE. WagnerIt is shown that, on the one hand, quantum moment maps give rise to examples for the operator-theoretic approach to invariant integration theory developed by K.-D. Kürsten and the second author, and that, on the other hand, the operator-theoretic approach to invariant integration theory is more general since it also applies to examples without a well-defined quantum moment map.https://ojs.cvut.cz/ojs/index.php/ap/article/view/1350quantum spacesinvariant integration theoryquantum moment map
spellingShingle O. Osuna Castro
E. Wagner
Quantum Moment Map and Invariant Integration Theory on Quantum Spaces
Acta Polytechnica
quantum spaces
invariant integration theory
quantum moment map
title Quantum Moment Map and Invariant Integration Theory on Quantum Spaces
title_full Quantum Moment Map and Invariant Integration Theory on Quantum Spaces
title_fullStr Quantum Moment Map and Invariant Integration Theory on Quantum Spaces
title_full_unstemmed Quantum Moment Map and Invariant Integration Theory on Quantum Spaces
title_short Quantum Moment Map and Invariant Integration Theory on Quantum Spaces
title_sort quantum moment map and invariant integration theory on quantum spaces
topic quantum spaces
invariant integration theory
quantum moment map
url https://ojs.cvut.cz/ojs/index.php/ap/article/view/1350
work_keys_str_mv AT oosunacastro quantummomentmapandinvariantintegrationtheoryonquantumspaces
AT ewagner quantummomentmapandinvariantintegrationtheoryonquantumspaces