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Wakimoto representations and Parabolic inductions for W-algebras

김선우 0 3180
구분
일정 2018-12-19 11:00 ~ 13:00
강연자 Naoki Genra (RIMS, Kyoto university)
기타
담당교수 서의린
abstract: (Affine) W-algebras are a family of vertex algebras defined by Drinfeld-Sokolov reductions. We introduce free field realizations of W-algebras by using Wakimoto representations of affine Lie algebras, which we call Wakimoto representations of W-algebras. Then W-algebras may be described as the intersections of kernels of screening operators. As applications, parabolic inductions for W-algebras are obtained. This is motivated by results of Premet and Losev on finite W-algebras. In type A, this becomes a chiralization of coproducts by Brundan-Kleshchev. In type BCD, we also have analogs of the coproducts in special cases.
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