Quantum double construction for subfactors arising from periodic commuting squares
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- GOTO Satoshi
- Department of Mathematics Sophia University
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Abstract
By generalizing Erlijman's method, we construct a subfactor from a fusion rule algebra with quantum 6j-symbols which produce periodic commuting squares. This construction produces the same subfactor as Ocneanu's asymptotic inclusion for the subfactor which is generated by the original periodic commuting square. This result can be applied to the quantum SU(n)k subfactors which is the same as Hecke algebra subfactors of type A of Wenzl for example, which shows that Erlijman's construction gives the same subfactor as the asymptotic inclusion.
Journal
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- Journal of the Mathematical Society of Japan
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Journal of the Mathematical Society of Japan 52 (1), 187-198, 2000
The Mathematical Society of Japan
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Keywords
Details 詳細情報について
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- CRID
- 1390282680092748800
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- NII Article ID
- 10004480097
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- NII Book ID
- AA0070177X
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- ISSN
- 18811167
- 18812333
- 00255645
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- MRID
- 1727194
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- NDL BIB ID
- 4974674
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- Text Lang
- en
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- Data Source
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- JaLC
- NDL
- Crossref
- CiNii Articles
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- Abstract License Flag
- Disallowed