Kac-Moody superalgebras

Speaker:

M. Gorelik

Date:

Fri, 27/03/2015 - 09:00 - 10:00

Location:

MPIM Lecture Hall [2]

Parent event:

Spring School: Characters of Representations and Modular Forms [3]

I will review results of C. Hoyt and V. Serganova on the classication of Kac-Moody superalgebras.
In the supercase several Cartan matrices may determine the same superalgebra and our denition
of Kac-Moody superalgebra is based on this fact. Surprisingly, all indecomposable Kac-Moody
superalgebras with isotropic roots are nite-dimensional or ane.