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

Fida Chami ()
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Fida Chami: Lebanese University

Indian Journal of Pure and Applied Mathematics, 2012, vol. 43, issue 1, 71-86

Abstract: 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.

Keywords: Branching law; Laplace spectrum; differential forms; representation theory; Casimir operator (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/s13226-012-0005-4

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