Representation theory of type B and C standard Levi W-algebras

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.

26 pages and 5 page appendix

References in corpus (1)

• Classification of finite dimensional irreducible modules over W-algebras