Maria Gorelik: Kac-Moody superalgebras
Time: Mon 2015-03-30 14.00 - 15.00
Location: Institut Mittag-Leffler, Auravägen 17, Djursholm
Participating: Maria Gorelik, Weizmann Institute of Science
I will review results of C. Hoyt and V. Serganova on classification of Kac-Moody superalgebras. In supercase several Cartan matrices may determine the same superalgebra and our definition of Kac-Moody superalgebra is based on this fact. Surprisingly, all symmetrizable indecomposable Kac-Moody superalgebras with isotropic roots are finite-dimensional or affine. I will discuss a notion of integrable modules over Kac-Moody superalgebras.