Isogeny restrictions of irreducible admissible representations are finite direct sums of irreducible admissible representations
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- by Allan J. Silberger PDF
- Proc. Amer. Math. Soc. 73 (1979), 263-264 Request permission
Abstract:
This paper proves that the isogeny restriction of an irreducible admissible representation of a connected reductive algebraic p-adic group decomposes as a finite direct sum of irreducible admissible representations.References
- Harish-Chandra, Harmonic analysis on reductive $p$-adic groups, Lecture Notes in Mathematics, Vol. 162, Springer-Verlag, Berlin-New York, 1970. Notes by G. van Dijk. MR 0414797
- Allan J. Silberger, Introduction to harmonic analysis on reductive $p$-adic groups, Mathematical Notes, vol. 23, Princeton University Press, Princeton, N.J.; University of Tokyo Press, Tokyo, 1979. Based on lectures by Harish-Chandra at the Institute for Advanced Study, 1971–1973. MR 544991
Additional Information
- © Copyright 1979 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 73 (1979), 263-264
- MSC: Primary 22E50
- DOI: https://doi.org/10.1090/S0002-9939-1979-0516475-2
- MathSciNet review: 516475