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Quantum Dimension and Quantum Projective Spaces
Репозиторій DSpace/Manakin
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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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Quantum Dimension and Quantum Projective Spaces
Інший ID:
2010 Mathematics Subject Classification: 58J42; 58B32; 46L87
DOI:10.3842/SIGMA.2014.097
DOI:10.3842/SIGMA.2014.097
Посилання:
Quantum Dimension and Quantum Projective Spaces / M. Matassa // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 22 назв. — англ.
Підтримка:
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.
Дата:
2014
Переглядів:
482
Завантажень:
250
Анотація:
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.
