Abstract
Let X be a symmetric space of non compact type whose isometry group is either SU(n,1) or Spin(2n,1). Then the Dirac operator D is defined on L{sup 2}-sections of certain homogeneous vector bundles over X. Using representation theory we obtain explicitly the eigenvalues of D and describe the eigenspaces in terms of the discrete series. (author). 6 refs.
Citation Formats
Galina, E, and Vargas, J.
Eigenvalues and eigenvectors for the twisted Dirac operator over SU(N,1) and Spin(2N,1).
IAEA: N. p.,
1991.
Web.
Galina, E, & Vargas, J.
Eigenvalues and eigenvectors for the twisted Dirac operator over SU(N,1) and Spin(2N,1).
IAEA.
Galina, E, and Vargas, J.
1991.
"Eigenvalues and eigenvectors for the twisted Dirac operator over SU(N,1) and Spin(2N,1)."
IAEA.
@misc{etde_10145234,
title = {Eigenvalues and eigenvectors for the twisted Dirac operator over SU(N,1) and Spin(2N,1)}
author = {Galina, E, and Vargas, J}
abstractNote = {Let X be a symmetric space of non compact type whose isometry group is either SU(n,1) or Spin(2n,1). Then the Dirac operator D is defined on L{sup 2}-sections of certain homogeneous vector bundles over X. Using representation theory we obtain explicitly the eigenvalues of D and describe the eigenspaces in terms of the discrete series. (author). 6 refs.}
place = {IAEA}
year = {1991}
month = {Oct}
}
title = {Eigenvalues and eigenvectors for the twisted Dirac operator over SU(N,1) and Spin(2N,1)}
author = {Galina, E, and Vargas, J}
abstractNote = {Let X be a symmetric space of non compact type whose isometry group is either SU(n,1) or Spin(2n,1). Then the Dirac operator D is defined on L{sup 2}-sections of certain homogeneous vector bundles over X. Using representation theory we obtain explicitly the eigenvalues of D and describe the eigenspaces in terms of the discrete series. (author). 6 refs.}
place = {IAEA}
year = {1991}
month = {Oct}
}