Dept Math & Stat UiT, Forskningsparken B459
19-26 May & 1 June 2021 Wed 13:00-15:00
Andrea Santi (UiT)
On irreducible representations of solvable Lie superalgebras (d'apres Kac and Sergeev)
Working seminar: We discuss the representation theory of complex solvable Lie superalgebras in terms of polarizations and their induced modules. We consider some examples, establish irreducibility of the induced module in terms of the set of its singular vectors, and describe the associated Schur superalgebra. Finally, we discuss when all irreducible representations of a solvable Lie superalgebra are 1-dimensional.