Extensions of (super) Lie algebras
  In this paper, we give a purely cohomological interpretation of the extension problem for (super) Lie algebras; that is the problem of extending a Lie algebra by another Lie algebra. We then give a similar interpretation of infinitesimal deformations of extensions. In particular, we consider infinitesimal deformations of representations of a Lie algebra. 
Alice Fialowski (Eotvos Lorand University, Budapest Hungary), and   Michael Penkava (University of Wisconsin, Eau Claire)