Extremal-type equations and their resolvents over reductive Lie algebras (Q1076123)

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scientific article; zbMATH DE number 3953017
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Extremal-type equations and their resolvents over reductive Lie algebras
scientific article; zbMATH DE number 3953017

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    Extremal-type equations and their resolvents over reductive Lie algebras (English)
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    1985
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    A general method for solving equations \(u_ ix=0\) mod I in the universal enveloping algebra for a Lie algebra of characteristic 0 is presented where \(u_ i\), \(i=1,...,n\), form a root system, respectively some reductive subalgebras, I is a left ideal.
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    extremal projections
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    extremal equations
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    universal enveloping algebra
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    root system
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    reductive subalgebras
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