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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Format: | Article |
Language: | English |
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IP Publishing LLC
2016
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Online Access: | https://repo.uum.edu.my/id/eprint/21544/1/AIP%20CP%201761%202016%201%207.pdf |
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author | Mohommed, Eman F. Ibrahim, Haslinda Ahmad, Nazihah Mahmood, Ammar Seddiq |
author_facet | Mohommed, Eman F. Ibrahim, Haslinda Ahmad, Nazihah Mahmood, Ammar Seddiq |
author_sort | Mohommed, Eman F. |
collection | UUM |
description | 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. |
first_indexed | 2024-07-04T06:17:51Z |
format | Article |
id | uum-21544 |
institution | Universiti Utara Malaysia |
language | English |
last_indexed | 2024-07-04T06:17:51Z |
publishDate | 2016 |
publisher | IP Publishing LLC |
record_format | dspace |
spelling | uum-215442017-04-11T04:12:00Z https://repo.uum.edu.my/id/eprint/21544/ Embedding the outer chain movement for main partition of β-number with length [1, 0, 0,…] Mohommed, Eman F. Ibrahim, Haslinda Ahmad, Nazihah Mahmood, Ammar Seddiq QA75 Electronic computers. Computer science 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. IP Publishing LLC 2016 Article PeerReviewed application/pdf en https://repo.uum.edu.my/id/eprint/21544/1/AIP%20CP%201761%202016%201%207.pdf Mohommed, Eman F. and Ibrahim, Haslinda and Ahmad, Nazihah and Mahmood, Ammar Seddiq (2016) Embedding the outer chain movement for main partition of β-number with length [1, 0, 0,…]. AIP Conference Proceedings, 1761. 020076-1-020076-6. ISSN 0094-243X http://doi.org/10.1063/1.4960916 doi:10.1063/1.4960916 doi:10.1063/1.4960916 |
spellingShingle | QA75 Electronic computers. Computer science Mohommed, Eman F. Ibrahim, Haslinda Ahmad, Nazihah Mahmood, Ammar Seddiq Embedding the outer chain movement for main partition of β-number with length [1, 0, 0,…] |
title | Embedding the outer chain movement for main partition of β-number with length [1, 0, 0,…] |
title_full | Embedding the outer chain movement for main partition of β-number with length [1, 0, 0,…] |
title_fullStr | Embedding the outer chain movement for main partition of β-number with length [1, 0, 0,…] |
title_full_unstemmed | Embedding the outer chain movement for main partition of β-number with length [1, 0, 0,…] |
title_short | Embedding the outer chain movement for main partition of β-number with length [1, 0, 0,…] |
title_sort | embedding the outer chain movement for main partition of β number with length 1 0 0 |
topic | QA75 Electronic computers. Computer science |
url | https://repo.uum.edu.my/id/eprint/21544/1/AIP%20CP%201761%202016%201%207.pdf |
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