Seminars & Colloquia Calendar
Twisted affine Lie algebras and twisted modules
Yi-Zhi Huang, Rutgers University
Location: Hill 705
Date & time: Friday, 28 February 2020 at 12:00PM - 1:20PM
Abstract: I will introduce a twisted affine Lie algebra associated to a semisimple finite-diemnsional Lie algebra g and an automorphism of g. In the case that the automorphism acts on g nonsemisimply, the commutator formula for the twisted affine Lie algebra has an additional term in the center involving the unipotent part of the automorphism. I will then discuss results on the relation between twisted modules for the corresponding vertex operator algebras and suitable modules for the twisted affine Lie algebra. These results reduce the study of twisted modules for these vertex operator algebras to the study of suitable modules for the twisted affine Lie algebra. The proofs of these results use the universal lower-bounded twisted modules constructed by me last year.