Infinite Analysis Seminar Tokyo

Seminar information archive ~10/14Next seminarFuture seminars 10/15~

Date, time & place Saturday 13:30 - 16:00 117Room #117 (Graduate School of Math. Sci. Bldg.)

2018/04/03

15:00-16:00   Room #002 (Graduate School of Math. Sci. Bldg.)
Naoki Genra (RIMS, Kyoto U.)
Screening Operators and Parabolic inductions for W-algebras
(ENGLISH)
[ Abstract ]
(Affine) W-algebras are the family of vertex algebras defined by
Drinfeld-Sokolov reductions. We introduce the free field realizations of
W-algebras by the Wakimoto representations of affine Lie algebras, which
we call the Wakimoto representations of W-algebras. Then W-algebras may be
described as the intersections of the kernels of the screening operators.
As applications, the parabolic inductions for W-algebras are obtained.
This is motivated by results of Premet and Losev on finite W-algebras. In
A-types, this becomes a chiralization of coproducts by Brundan-Kleshchev.
In BCD-types, we also have analogue results in special cases.