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- W3101697617 abstract "The solution of the eigenvalue problem of the Laplacian on a general homogeneous space G∕H is given. Here, G is a compact, semisimple Lie group, H is a closed subgroup of G, and the rank of H is equal to the rank of G. It is shown that the multiplicity of the lowest eigenvalue of the Laplacian on G∕H is just the degeneracy of the lowest Landau level for a particle moving on G∕H in the presence of the background gauge field. Moreover, the eigenspace of the lowest eigenvalue of the Laplacian on G∕H is, up to a sign, equal to the G-equivariant index of the Kostant’s Dirac operator on G∕H." @default.
- W3101697617 created "2020-11-23" @default.
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- W3101697617 date "2008-05-01" @default.
- W3101697617 modified "2023-09-23" @default.
- W3101697617 title "The Laplacian on homogeneous spaces" @default.
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- W3101697617 doi "https://doi.org/10.1063/1.2924268" @default.
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