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: Mohommed, Eman F., Ibrahim, Haslinda, Ahmad, Nazihah, Mahmood, Ammar Seddiq
Format: Article
Language:English
Published: IP Publishing LLC 2016
Subjects:
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.
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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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