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arXiv · 1209.2882

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

Jonathan Brown·Simon M. Goodwin
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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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BibTeXRIS

Jonathan Brown, Simon M. Goodwin. 2012-09-13. Representation theory of type B and C standard Levi W-algebras. https://doi.org/10.2140/pjm.2014.269.31

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