Embedding the outer chain movement for main partition of β-number with length [1, 0, 0,…]
One of the graphical representations for any partition of a non-negative integers in the modular representation theory of diagram algebra is James abacus using Beta numbers.In this work James abacus is divided positions into several chains. A new diagram Atco is introduced by employing on the outer...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
IP Publishing LLC
2016
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| Subjects: | |
| Online Access: | http://repo.uum.edu.my/21544/1/AIP%20CP%201761%202016%201%207.pdf http://repo.uum.edu.my/21544/ http://doi.org/10.1063/1.4960916 |
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| Summary: | One of the graphical representations for any partition of a non-negative integers in the modular representation theory of diagram algebra is James abacus using Beta numbers.In this work James abacus is divided positions into several chains. A new diagram Atco is introduced by employing on the outer chain with length [1, 0, 0,…] on the active James abacus. Finally a consecutive new diagram of b2, b3,…, be can be found from active diagram Atco which is found after applying chain movement. |
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