Keywords
- Dirac Operator
- Discrete Series
- Virtual Character
- Real Rank
- Principal Series Representation
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Bibliography
M. F. Atiyah, "Elliptic operators, discrete groups and von Neuman algebras", Astérisque 32/33, (1976), 43–72.
M. F. Atiyah, W. Schmid, "A geometric construction of the discrete series", Inv. Math., 42(1977), 1–62.
M. W. Baldoni Silva, D. Barbasch, "The unitary dual for real rank one semisimple Lie groups". Preprint.
M. W. Baldoni Silva, H. Kraejević, "Composition factors of the principal series representations of the group Sp(n,1)", TAMS, 262, (1980), 447–471.
H. Moscovici, "L2 index of elliptic operators on locally symmetric spaces of finite volume". Preprint.
R. Parthasarathy, "Dirac operators and the discrete series", Ann. of Math., 96, (1972), 1–30.
D. Vogan, "Unitary representations with cohomology", Preprint.
D. Vogan, "Representations of real reductive Lie groups", Progress in Mathematics, Birkhauser, 1981.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1983 Springer-Verlag
About this paper
Cite this paper
Baldoni Silva, M.W. (1983). L2 index and unitary representations. In: Carmona, J., Vergne, M. (eds) Non Commutative Harmonic Analysis and Lie Groups. Lecture Notes in Mathematics, vol 1020. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0071494
Download citation
DOI: https://doi.org/10.1007/BFb0071494
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-12717-8
Online ISBN: 978-3-540-38700-8
eBook Packages: Springer Book Archive
