%0 Journal Article %T Partition Algebra, its Characterization and Representations %A Masashi Kosuda %J Mathematics %D 2010 %I arXiv %X In this note we give representations for the partition algebra A_3(Q) in Young's seminormal form. For this purpose, we also give characterizations of A_n(Q) and$A_{n-1/2}(Q). %U http://arxiv.org/abs/1002.0396v1