# Principal series representations of special unitary groups over local fields

Compositio Mathematica (1984)

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

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topKeys, 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] W. Casselman: Introduction to the Theory of Admissible Representations of p-adic Reductive Groups, to appear.
- [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] 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] 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] A.W. Knapp and E.M. Stein: Intertwining operators for semi-simple groups, II. Invent. Math.60 (1980) 9-84. Zbl0454.22010MR582703
- [6] P.J. Sally and M.H. Taibleson: Special functions on locally compact fields. Acta Math.116 (1966) 279-309. Zbl0173.07005MR206349
- [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] F. Shahidi: On certain L-functions. Amer. J. Math.103 (2) (1981) 297-355. Zbl0467.12013MR610479
- [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] 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] A. Silberger: Special representations reductive p-adic groups are not integrable. Ann. Math.111 (1980) 571-587. Zbl0437.22015MR577138

## Citations in EuDML Documents

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