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Accession number;05A0654539
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| Title;An invariant approach to dynamical fuzzy spaces with a three-index variable |
| Author;
SASAKURA NAOKI
(Kyoto Univ., Kyoto, Jpn)
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Journal Title;YITP
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Journal Code:L0911B
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ISSN:
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VOL.;NO.05-34;PAGE.14P(2005)
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| Figure&Table&Reference;FIG.8, REF.22 |
| Pub. Country;Japan |
| Language;English |
| Abstract;A dynamical fuzzy space is described by a three-index variable, which determines the algebraic relations among functions on the fuzzy space. A fuzzy analogue of the general coordinate transformation is given in terms of the general linear transformations on these functions. Equations for the three-index variable invariant the general linear transformation is derived, and the general solutions are constructed based on the invariant tensors of Lie groups. From the SO(3) symmetric solutions, a scalar field theory is constructed on a fuzzy two-sphere. |
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