Open AccessJournal Article
Spectra of De Rham Hodge operator
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In this article, a calcul effectif du spectre de l'operateur de De Rham Hodge sur les formes de degre 1 sur l'espace Sp(n+1)/Sp(1)×Sp(n), pour n≥1, utilisant la theorie des representations des algebres de LieAbstract:
On donne un calcul effectif du spectre de l'operateur de De Rham Hodge sur les formes de degre 1 sur l'espace Sp(n+1)/Sp(1)×Sp(n), pour n≥1, en utilisant la theorie des representations des algebres de Lieread more
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Journal ArticleDOI
A branching law from Sp(n) TO Sp(q) × Sp(n-q) and an application to laplace operator spectra
TL;DR: In this paper, a branching law from the group Sp(n) to the subgroup Sp(q) × Spn-q was given, and the Laplace spectrum was computed on the forms of the manifold.
Journal ArticleDOI
Spectrum of the Hodge Laplacian on complex Grassmannian Gr2(Cm+2)
TL;DR: In this article, the spectrum of the Hodge Laplacian acting on forms of degree 1 on complex Grassmannian Gr 2 (C m + 2 ) for m ⩾ 3 was given.
Book ChapterDOI
Lie algebras of Lie groups, Kac-Moody groups, supergroups, and some specialized topics in finite- and infinite-dimensional Lie algebras
TL;DR: In this paper, the spectral properties of the Laplace-Beltrami operator on quadric hypersurface and quaternionic projective space have been investigated and some fundamental applications of Lie algebras and Lie groups to differential geometry, to number theory, and finally to differential equations have been discussed.
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