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A branching law from Sp(n) TO Sp(q) × Sp(n-q) and an application to laplace operator spectra

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Abstract

In this paper, we give a branching law from the group Sp(n) to the subgroup Sp(q) × Sp(n-q). We propose an application of this result to compute the Laplace spectrum on the forms of the manifold Sp(n)/Sp(q)×Sp(n-q), using the “identification” of the Laplace operator with the Casimir operator in symmetric spaces.

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Authors and Affiliations

  1. Faculty of Sciences II, Department of Mathematics, Lebanese University, B.P. 90656, Fanar-Maten, Lebanon

    Fida El Chami

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  1. Fida El Chami
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Correspondence to Fida El Chami.

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El Chami, F. A branching law from Sp(n) TO Sp(q) × Sp(n-q) and an application to laplace operator spectra. Indian J Pure Appl Math 43, 71–86 (2012). https://doi.org/10.1007/s13226-012-0005-4

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  • DOI: https://doi.org/10.1007/s13226-012-0005-4

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