On the Irreducibility of Associated Varieties of W-algebras
نویسندگان
چکیده
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. Dedicated to the 60th birthday of Professor Efim Zelmanov
منابع مشابه
On simplicity of vacuum modules
We find necessary and sufficient conditions of irreducibility of vacuum modules over affine Lie algebras and superalgebras. From this we derive conditions of simplicity of minimal W -algebras. Moreover, in the case of the Virasoro and Neveu–Schwarz algebras we obtain explicit formulas for the vacuum determinants. © 2006 Elsevier Inc. All rights reserved.
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