Special functions related to complex Lie groups (Q1594250)

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scientific article; zbMATH DE number 1557577
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Special functions related to complex Lie groups
scientific article; zbMATH DE number 1557577

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    Special functions related to complex Lie groups (English)
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    28 January 2001
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    In the paper the definition of a \(GG\)-system introduced in an earlier work is extended to an arbitrary complex Lie group \(G\) and its arbitrary (not necessarily completely reducible) finite-dimensional analytic representation. Finally, general \(GGZ\)-systems are studied, some examples for \(GG\)-systems are given and the \(q\)-analogue of \(GG\)-systems are defined.
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    Lie group
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    \(q\)-analogue
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    \(GG\)-system
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