The representation theory of the exceptional Lie superalgebras F(4) and G(3)

In this talk I will give answer to three related problems for the so-called exceptional Lie superalgebras F(4) and G(3). I will describe the character and superdimension formulae for the simple modules, classify all indecomposable representations, and construct the superanalogue of Borel–Weil–Bott theorem.