Some Transformation Schemes Involving the Special (132)-Avoiding Permutation Patterns and a Binary Coding: An Algorithmic Approach

Some transformations have been designed and used on the Special (132)-avoiding Patterns of Permutations reported earlier by the Author. In this report, an algorithm has also been used to derive some matrix representations of the special permutation Scheme using binary coding. By the current development, an important theorem has now been formulated expressing some useful relationships between this scheme and a system of cellular algebra.