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

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Фізико-технічні та математичні науки
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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2014, том 10
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Symmetry, Integrability and Geometry: Methods and Applications, 2014, том 10, випуск за цей рік
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dc.contributor.author	Goswami, D.
dc.contributor.author	Joardar, S.
dc.date.accessioned	2019-02-10T10:01:08Z
dc.date.available	2019-02-10T10:01:08Z
dc.date.issued	2014
dc.identifier.citation	Quantum 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.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 58B34; 46L65; 81R50
dc.identifier.other	DOI:10.3842/SIGMA.2014.076
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/146611
dc.description.abstract	It 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.sponsorship	This 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.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Quantum Isometry Groups of Noncommutative Manifolds Obtained by Deformation Using Dual Unitary 2-Cocycles	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA