Minimal set of generators of symplectic groups over finite fields

Hiroyuki Ishibashi

Relation of the spectra of symplectic Rarita-Schwinger and Dirac operators on flat symplectic manifolds

Svatopluk Krýsl (2007)

Archivum Mathematicum

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Consider a flat symplectic manifold $(M^{2 l}, ω)$ , $l \geq 2$ , admitting a metaplectic structure. We prove that the symplectic twistor operator maps the eigenvectors of the symplectic Dirac operator, that are not symplectic Killing spinors, to the eigenvectors of the symplectic Rarita-Schwinger operator. If $λ$ is an eigenvalue of the symplectic Dirac operator such that $- ı l λ$ is not a symplectic Killing number, then $\frac{l - 1}{l} λ$ is an eigenvalue of the symplectic Rarita-Schwinger operator.

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Relation of the spectra of symplectic Rarita-Schwinger and Dirac operators on flat symplectic manifolds

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Displaying similar documents to “Minimal set of generators of symplectic groups over finite fields”

Relation of the spectra of symplectic Rarita-Schwinger and Dirac operators on flat symplectic manifolds

Decomposition of isometries of isotropic U n ( V ) over finite fields into simple isometries

Partial hyperbolicity for symplectic diffeomorphisms

Decomposition of isometries of isotropic $U_{n} (V)$ over finite fields into simple isometries