Quantum Isometry Groups of Noncommutative Manifolds Obtained by Deformation Using Dual Unitary 2-Cocycles

dc.contributor.authorGoswami, D.
dc.contributor.authorJoardar, S.
dc.date.accessioned2019-02-10T10:01:08Z
dc.date.available2019-02-10T10:01:08Z
dc.date.issued2014
dc.description.abstractIt is proved that the (volume and orientation-preserving) quantum isometry group of a spectral triple obtained by deformation by some dual unitary 2-cocycle is isomorphic with a similar twist-deformation of the quantum isometry group of the original (undeformed) spectral triple. This result generalizes similar work by Bhowmick and Goswami for Rieffel-deformed spectral triples in [Comm. Math. Phys. 285 (2009), 421-444].uk_UA
dc.description.sponsorshipThis paper is a contribution to the Special Issue on Noncommutative Geometry and Quantum Groups in honor of Marc A. Rief fel. The full collection is available at http://www.emis.de/journals/SIGMA/Rieffel.html Research of the first author is partially supported by Swarnajayanti Fellowship from D.S.T. (Govt. of India). He also acknowledges kind hospitality of the Fields Institute, Toronto (Canada) where he participated in a workshop and conference in honour of Marc Rief fel. The research of the second author is supported by CSIR, Govt. of India. We are grateful to Sergey Neshveyev for pointing out a crucial mistake in the earlier version of this paper and would like to thank him as well as Jyotishman Bhowmick for their overall comments in general.uk_UA
dc.identifier.citationQuantum Isometry Groups of Noncommutative Manifolds Obtained by Deformation Using Dual Unitary 2-Cocycles / D. Goswami, S. Joardar // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 28 назв. — англ.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 58B34; 46L65; 81R50
dc.identifier.otherDOI:10.3842/SIGMA.2014.076
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/146611
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleQuantum Isometry Groups of Noncommutative Manifolds Obtained by Deformation Using Dual Unitary 2-Cocyclesuk_UA
dc.typeArticleuk_UA

Файли

Оригінальний контейнер

Зараз показуємо 1 - 1 з 1
Завантаження...
Ескіз
Назва:
41-Goswami.pdf
Розмір:
419.58 KB
Формат:
Adobe Portable Document Format

Контейнер ліцензії

Зараз показуємо 1 - 1 з 1
Завантаження...
Ескіз
Назва:
license.txt
Розмір:
817 B
Формат:
Item-specific license agreed upon to submission
Опис: