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arxiv: 1608.03142 · v1 · pith:6KVEIQXPnew · submitted 2016-08-10 · 🧮 math.RT · math-ph· math.AG· math.MP· math.QA

On the irreducibility of associated varieties of W-algebras

classification 🧮 math.RT math-phmath.AGmath.MPmath.QA
keywords associatedirreducibilityvarietyw-algebrasalgebrasappearexamplesfinitely
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We investigate the irreducibility of the nilpotent Slodowy slices that appear as the associated variety of W-algebras. Furthermore, we provide new examples of vertex algebras whose associated variety has finitely many symplectic leaves.

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