Non-integral representation theory of even multiplicity finite \(W\)-algebras (Q375228)

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scientific article; zbMATH DE number 6220586
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Non-integral representation theory of even multiplicity finite \(W\)-algebras
scientific article; zbMATH DE number 6220586

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    Non-integral representation theory of even multiplicity finite \(W\)-algebras (English)
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    29 October 2013
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    The paper completes classification of simple finite dimensional modules over finite \(W\)-algebras associated to even multiplicity nilpotent elements in classical Lie algebras. The authors find an alternative approach to the question which also allows them to simplify the proof of their previous result where they obtained such a classification in the case of integral central characters.
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    finite \(W\)-algebra
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    simple module
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    nilpotent element
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    central character
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