Capelli type identities on certain scalar generalized Verma modules. II (Q1884806)

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scientific article; zbMATH DE number 2110891
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Capelli type identities on certain scalar generalized Verma modules. II
scientific article; zbMATH DE number 2110891

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    Capelli type identities on certain scalar generalized Verma modules. II (English)
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    27 October 2004
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    In the preceding paper [J. Math. Kyoto Univ. 40, No. 4, 705--727 (2000; Zbl 0972.17009)] the author gave an analogue of the Capelli identity for relative invariants in Hermitian symmetric settings, and the analogue was constructed on scalar generalized Verma modules. In this paper he gives an analogue of the Capelli identity of lower degrees. This analogue contains non-principal minors in contrast with the original Capelli identity.
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    generalized Verma modules
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    Hermitian symmetric type
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    Capelli identity
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    Turnbull identity
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