Abstract
AbstractIn this paper we study the variety of one dimensional representations of a finite$W$W-algebra attached to a classical Lie algebra, giving a precise description of the dimensions of the irreducible components. We apply this to prove a conjecture of Losev describing the image of his orbit method map. In order to do so we first establish new Yangian-type presentations of semiclassical limits of the$W$W-algebras attached to distinguished nilpotent elements in classical Lie algebras, using Dirac reduction.
Publisher
Springer Science and Business Media LLC
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