Abstract:
We describe the unital finite-dimensional simple nonconstant bimodules W over the matrix algebra M2(F) over a field F of characteristic 0; i.e., the left action of the idempotents of M2(F) is diagonalizable and W does not contain constant bichains. Also, we construct an example of a nondiagonal bimodule and a series of constant right-symmetric bimodules over M2(F).