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A new formula for weight multiplicities and characters - MaRDI portal

A new formula for weight multiplicities and characters (Q1974975)

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A new formula for weight multiplicities and characters
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    A new formula for weight multiplicities and characters (English)
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    27 March 2000
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    The paper deals with finite representations of simple complex Lie algebras. A new formula for weight multiplicities is derived. The formula expresses the multiplicities as a sum of positive rational numbers. The author uses Heckmann-Opdam polynomials and intertwining relation for Cherednik operators to prove the results.
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    finite representations
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    simple complex Lie algebras
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    weight multiplicities
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    Heckmann-Opdam polynomials
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