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The intertwining operators of split \(G_2\). I (Q2725215)

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scientific article; zbMATH DE number 1618993
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English
The intertwining operators of split \(G_2\). I
scientific article; zbMATH DE number 1618993

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    14 May 2002
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    unitary irreducible \(G\)-representations
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    split simple Lie group
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    intertwining operator
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    The intertwining operators of split \(G_2\). I (English)
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    Let \(G\) be the split simple Lie group \(G_2\). The article considers the standard induced representation of \(G\). It studies the intertwining operator on some subspaces of the induced representation. Using the formula of the intertwining operator, it obtains the limit of the unitary irreducible \(G\)-representations.
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