Keywords
- Weyl Group
- Parabolic Subgroup
- Discrete Series
- Maximal Compact Subgroup
- Double Coset
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.
References
F. Bruhat, Sur les représentations induites des groupes de Lie, Bull. Soc. Math. France 84 (1956), 97–205.
M. Duflo, Représentations unitaires irréductibles des groupes simples complexes de rang deux, Bull. Soc. Math. France 107 (1979), 55–96.
K. Gross, Restriction to a parabolic subgroup and irreducibility of degenerate principal series of Sp(2,C), Bull. Amer. Math. Soc. 76 (1970), 1281–1285.
H. P. Jakobsen, Intertwining differential operators for Mp(n,R) and SU(n,n), Trans. Amer. Math. Soc. 246 (1978), 311–337.
H. P. Jakobsen and M. Vergne, Wave and Dirac operators, and representations of the conformal group, J. Func. Anal. 24 (1977) 52–106.
M. Kashiwara and M. Vergne, Functions on the Shilov boundary of the generalized half plane, Non-Commutative Harmonic Analysis, Springer-Verlag Lecture Notes in Math. 728 (1979), 136–176.
A. W. Knapp, Weyl group of a cuspidal parabolic, Ann. Sci. École Norm. Sup. 8 (1975), 275–294.
A. W. Knapp and E. M. Stein, Intertwining operators for semisimple groups II, Inventiones Math. (1980).
R. Kunze and E. M. Stein, Uniformly bounded representations III, Amer. J. Math. 89 (1967), 385–442.
R. P. Langlands, On the classification of irreducible representations of real algebraic groups, mimeographed notes, Institute for Advanced Study, Princeton, New Jersey, 1973.
C. Pichet, Unitary representations of simple Lie groups associated with the holomorphic discrete series, thesis, Rutgers University, 1978.
B. Speh, Degenerate series representations of the universal covering group of SU(2,2), J. Func. Anal. 33 (1979), 95–118.
N. R. Wallach, The analytic continuation of the discrete series II, Trans. Amer. Math. Soc. 251 (1979), 19–37.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1981 Springer-Verlag
About this paper
Cite this paper
Knapp, A.W., Stein, E.M. (1981). Some new intertwining operators for semisimple groups. In: Carmona, J., Vergne, M. (eds) Non Commutative Harmonic Analysis and Lie Groups. Lecture Notes in Mathematics, vol 880. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0090414
Download citation
DOI: https://doi.org/10.1007/BFb0090414
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-10872-6
Online ISBN: 978-3-540-38783-1
eBook Packages: Springer Book Archive
