University of Sydney Algebra Seminar

Naihuan Jing (North Carolina State University)

Friday 10th May, 12:05-12:55pm, Carslaw 373

Spin representations of wreath products

According to Schur, spin characters of the symmetric group can be constructed in two parts: an analogous Frobenius formula using Schur's \(Q\)-functions; Schur's spin tensor products and Clifford algebras. For the wreath products of the symmetric group with an arbitrary finite group, the first part was generalized by twisted vertex operators using ideas of the McKay correspondence (jointly with Frenkel and Wang).

In this talk I will first review briefly the first part, then I will talk about recent results (with X. Hu) on getting other spin character values.