Principal series representations of special unitary groups over local fields

David Keys

Compositio Mathematica (1984)

  • Volume: 51, Issue: 1, page 115-130
  • ISSN: 0010-437X

How to cite

top

Keys, David. "Principal series representations of special unitary groups over local fields." Compositio Mathematica 51.1 (1984): 115-130. <http://eudml.org/doc/89629>.

@article{Keys1984,
author = {Keys, David},
journal = {Compositio Mathematica},
keywords = {reducibility; unitary and non-unitary principal series representations; Plancherel measure; separable quadratic extension},
language = {eng},
number = {1},
pages = {115-130},
publisher = {Martinus Nijhoff Publishers},
title = {Principal series representations of special unitary groups over local fields},
url = {http://eudml.org/doc/89629},
volume = {51},
year = {1984},
}

TY - JOUR
AU - Keys, David
TI - Principal series representations of special unitary groups over local fields
JO - Compositio Mathematica
PY - 1984
PB - Martinus Nijhoff Publishers
VL - 51
IS - 1
SP - 115
EP - 130
LA - eng
KW - reducibility; unitary and non-unitary principal series representations; Plancherel measure; separable quadratic extension
UR - http://eudml.org/doc/89629
ER -

References

top
  1. [1] W. Casselman: Introduction to the Theory of Admissible Representations of p-adic Reductive Groups, to appear. 
  2. [2] W. Casselman: The unramified principal series of p-adic groups, I. The spherical function. Comp. Math.40 (3) (1980) 387-406. Zbl0472.22004MR571057
  3. [3] D. Keys: On the decomposition of reducible principal series representations of p-adic Chevalley groups. Pacific J. Math.101 (1982) 351-388. Zbl0438.22010MR675406
  4. [4] D. Keys: Reducibility of unramified unitary principal series representations of p-adic groups and class-1 representations. Math. Annalen260 (1982) 397-402. Zbl0488.22026MR670188
  5. [5] A.W. Knapp and E.M. Stein: Intertwining operators for semi-simple groups, II. Invent. Math.60 (1980) 9-84. Zbl0454.22010MR582703
  6. [6] P.J. Sally and M.H. Taibleson: Special functions on locally compact fields. Acta Math.116 (1966) 279-309. Zbl0173.07005MR206349
  7. [7] F. Rodier: Models de Whittaker et characteres de representations. In: Lecture Notes in Math.466, Non-Commutative Harmonic Analysis, Springer-Verlag (1975), pp. 151-171. Zbl0339.22014MR393355
  8. [8] F. Shahidi: On certain L-functions. Amer. J. Math.103 (2) (1981) 297-355. Zbl0467.12013MR610479
  9. [9] A. Silberger: Introduction to harmonic analysis on reductive p-adic groups (based on lectures by Harish-Chandra at IAS). Math Notes no.23, Princeton University Press, N.J. (1979). Zbl0458.22006MR544991
  10. [10] A. Silberger: The Knapp-Stein dimension theorem for p-adic groups. Proc. Amer. Math. Soc.68 (1978) 243-246, and "Correction", 76 (1979) 169-170. Zbl0415.22020MR492091
  11. [11] A. Silberger: Special representations reductive p-adic groups are not integrable. Ann. Math.111 (1980) 571-587. Zbl0437.22015MR577138

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.