Representation theory of type B and C standard Levi W-algebras (1209.2882v1)

Published 13 Sep 2012 in math.RT

Abstract: We classify the finite dimensional irreducible representations with integral central character of finite $W$-algebras $U(\mathfrak g,e)$ associated to standard Levi nilpotent orbits in classical Lie algebras of types B and C. This classification is given explicitly in terms of the highest weight theory for finite $W$-algebras.

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