Quantum Dimension and Quantum Projective Spaces

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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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dc.contributor.author	Matassa, M.
dc.date.accessioned	2019-02-09T21:11:52Z
dc.date.available	2019-02-09T21:11:52Z
dc.date.issued	2014
dc.identifier.citation	Quantum Dimension and Quantum Projective Spaces / M. Matassa // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 22 назв. — англ.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 58J42; 58B32; 46L87
dc.identifier.other	DOI:10.3842/SIGMA.2014.097
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/146544
dc.description.abstract	We show that the family of spectral triples for quantum projective spaces introduced by D'Andrea and Dąbrowski, which have spectral dimension equal to zero, can be reconsidered as modular spectral triples by taking into account the action of the element K₂ρ or its inverse. The spectral dimension computed in this sense coincides with the dimension of the classical projective spaces. The connection with the well known notion of quantum dimension of quantum group theory is pointed out.	uk_UA
dc.description.sponsorship	I wish to thank Jens Kaad for helpful comments on a first version of this paper. I also want to thank the anonymous referees, whose observations have improved this presentation.	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 Dimension and Quantum Projective Spaces	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA