Exact sequences of FW6-second and third pair of hooks representation modules over a field of characteristic 3

الملخص EN

In this paper we will prove a short sequences of FW6-second pair of hooks representation modules M1F , M2F corresponding to the partitions ((4,1),(1)),((1),(4,1)) and FW6-third pair of hooks representation modules N1F , N2F corresponding to the partitions ((3,1,1),(1)),((1),(3,1,1)), are exact and split when F is a field of characteristic equal to 3.