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Nilpotent orbits and finite W-algebras

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arxiv 0912.0689 v2 pith:CXJ56Y5H submitted 2009-12-03 math.RT math.QA

Nilpotent orbits and finite W-algebras

Weiqiang Wang This is my paper
classification math.RT math.QA
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

    math.RT 2026-03 unverdicted novelty 6.0

    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.