Representations of Jordan superalgebras

 In this talk we plan to give a survey of both classical and recent results obtained in the representation theory of Jordan algebras and superalgebras.  Further we will construct indecomposable representations of Jordan superalgebras JP2 and Kan(n) . Our main tool is the famous Tits-Kantor-Koecher construction. The representations of JP2 and Kan(n) are given in terms of Ext quiver algebras of the category of representations with the short grading for Lie superalgebras P(3) and H(n+3) respectively.
This is joint result with Vera Serganova.