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- W2962887551 abstract "Let G be a complex linear algebraic group, g=Lie(G) its Lie algebra and e∈g a nilpotent element. Vust's Theorem says that in case of G=GL(V), the algebra EndGe(V⊗d), where Ge⊂G is the stabilizer of e under the adjoint action, is generated by the image of the natural action of d-th symmetric group Sd and the linear maps {1⊗(i−1)⊗e⊗1⊗(d−i)|i=1,…,d}. In this paper, we give an analogue of Vust's Theorem for G=O(V) and SP(V) when the nilpotent elements e satisfy that G⋅e‾ is normal. As an application, we study the higher Schur–Weyl duality in the sense of [4] for types B, C and D, which establishes a relationship between W-algebras and degenerate affine braid algebras." @default.
- W2962887551 created "2019-07-30" @default.
- W2962887551 creator A5048829094 @default.
- W2962887551 creator A5070123684 @default.
- W2962887551 date "2018-02-01" @default.
- W2962887551 modified "2023-09-27" @default.
- W2962887551 title "Vust's Theorem and higher level Schur–Weyl duality for types B , C and D" @default.
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- W2962887551 doi "https://doi.org/10.1016/j.jpaa.2017.04.006" @default.
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