Embedding the outer chain movement for main partition of β-number with length [1, 0, 0,…]
Eman F. Mohommed, Haslinda Ibrahim, Nazihah Ahmad, Ammar S. Mahmood · AIP conference proceedings · 2016
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.