LAUSR

Let ???? be the special linear Lie algebra ????????3 of rank 2 over an algebraically closed field k of characteristic 3. In this paper, we classify all irreducible representations of ????, which completes the classification of the irreducible representations of ????????3 over an algebraically closed field of arbitrary characteristic. Moreover, the multiplicities of baby Verma modules in projective modules and simple modules in baby Verma modules are given. Thus we get the character formulae for simple modules and the Cartan invariants of ????.