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arxiv: 0912.0689 · v2 · pith:CXJ56Y5Hnew · submitted 2009-12-03 · 🧮 math.RT · math.QA

Nilpotent orbits and finite W-algebras

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keywords finitew-algebrasnilpotentalgebraapplicationsassociatedbasicbeen
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In recent years, the finite W-algebras associated to a semisimple Lie algebra and its nilpotent element have been studied intensively from different viewpoints. In this lecture series, we shall present some basic constructions, connections, and applications of finite W-algebras.

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  1. Duflo-Serganova fumctors and Brundan-Goodwin's parabolic inductions

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    The paper computes Duflo-Serganova images of b-Verma supermodules and identifies them with H0-images of the same via parabolic Miura transform for W-superalgebra modules.