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Primitive ideals for \(W\)-algebras in type \(A\) - MaRDI portal

Primitive ideals for \(W\)-algebras in type \(A\) (Q1758259)

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Primitive ideals for \(W\)-algebras in type \(A\)
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    Primitive ideals for \(W\)-algebras in type \(A\) (English)
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    8 November 2012
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    In this paper the author provides a classification for primitive ideals in finite \(W\)-algebras of type \(A\) by showing that the set of these primitive ideals naturally \textit{injects} into the set of primitive ideals of the universal enveloping algebra of the Lie algebra \(\mathfrak{sl}_n\) and describing the image of this injection.
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    primitive ideal
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    \(W\)-algebra
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    Lie algebra
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    nilpotent element
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