Direct Rotation b - Numbers
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2014, Vol 5, Issue 2
Abstract
For any partition u = (u1, u2, . . ., un) of a non - negative integer number r there exist a diagram (A) of b- numbers for each e where e is a a positive integer number greater than or equal to two; which introduced by James in 1978.These diagrams (A) play a enormous role in Iwahori-Hecke algebras and q-Schur algebras; as presented by Fayers in 2007. In this paper, we introduced some new diagrams (A90 ), (A180) and (A270 ) by employing the "direct rotation application of three diffrent degrees namely 90o , 180o and 270o " on the main diagram (A). We concluded that we can find the successive main diagrams (A90), (A180) and (A270) for the guides b2, b3,. . . and be depending on the main diagrams (A90 ), (A180) and (A270 ) for b1 and set these facts as rules named Rule (3.1.2), Rule (3.2.2) and Rule (3.3.2) respectively.We depended in our work on the idea of the intersection of the main diagrams (A) given by Mahmood in 2011 and the "upside-down b-numbers" again given by Mahmood in 2013.
Authors and Affiliations
Shukriyah Sabir Ali, Ammar Seddiq Mahmood
Keywords
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- EP ID EP651220
- DOI 10.24297/jam.v5i2.3678
- Views 173
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