On the classification of irreducible low rank unitary representations of classical groups
Compositio Mathematica, Tome 71 (1989) no. 1, pp. 29-48.

Voir la notice de l'article provenant de la source Numdam

@article{CM_1989__71_1_29_0,
     author = {Li, Jian-Shu},
     title = {On the classification of irreducible low rank unitary representations of classical groups},
     journal = {Compositio Mathematica},
     pages = {29--48},
     publisher = {Kluwer Academic Publishers},
     volume = {71},
     number = {1},
     year = {1989},
     mrnumber = {1008803},
     zbl = {0694.22012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CM_1989__71_1_29_0/}
}
TY  - JOUR
AU  - Li, Jian-Shu
TI  - On the classification of irreducible low rank unitary representations of classical groups
JO  - Compositio Mathematica
PY  - 1989
SP  - 29
EP  - 48
VL  - 71
IS  - 1
PB  - Kluwer Academic Publishers
UR  - http://geodesic.mathdoc.fr/item/CM_1989__71_1_29_0/
LA  - en
ID  - CM_1989__71_1_29_0
ER  - 
%0 Journal Article
%A Li, Jian-Shu
%T On the classification of irreducible low rank unitary representations of classical groups
%J Compositio Mathematica
%D 1989
%P 29-48
%V 71
%N 1
%I Kluwer Academic Publishers
%U http://geodesic.mathdoc.fr/item/CM_1989__71_1_29_0/
%G en
%F CM_1989__71_1_29_0
Li, Jian-Shu. On the classification of irreducible low rank unitary representations of classical groups. Compositio Mathematica, Tome 71 (1989) no. 1, pp. 29-48. http://geodesic.mathdoc.fr/item/CM_1989__71_1_29_0/

1 J. Dieudonné, La géométrie des groupes classiques, 2nd edn. Springer-Verlag, (1963). | Zbl | MR

2 I.M. Gelfand and M.I. Graev, Representations of a group of the second order with elements from a locally compact field, Russian Math. Surveys 18 (1863) 29-100. | Zbl | MR

3 S. Gelbart, and I.I. Piatetski-Shapiro, Distinguished representations and Modular Forms of half-integral weight, Invent. Math. 59 (1980) 145-188. | Zbl | MR

4 R. Howe, L2-duality in the stable range, Preprint.

5 R. Howe, A notion of rank for unitary representations of classical groups, C.I.M.E. Summer School on Harmonic analysis, Cortona (1980).

6 R. Howe, θ series and invariant theory, Proc. Symp. Pure Math., Vol. 33, A.M.S., (1979). | Zbl

7 R. Howe, Small unitary representations of classical groups, In: Group representations, ergodic theory, operator algebras and math. physics. Proceedings of a conference in honor of G.W. Mackey, C.C. Moore, (eds.) M.S.R.I., Publ. No. 6, Springer-Verlag, New York (1986) pp. 121-150. | Zbl | MR

8 R. Howe and C. Moore, Asymptotic properties of unitary representations, J. Func. Anal. 32 (1979) 72-96. | Zbl | MR

9 R. Howe and Piatetski-Shapiro, A counterexample to the generalized Ramanujan Conjecture, in Proc. Symp. Pure. Math., Vol. 33, A.M.S. (1979). | Zbl

10 D. Kazhdan, Some applications of the Weil representation, Journal d'Analyse Mathematique 32 (1977) 235-248. | Zbl | MR

11 N. Kurokawa, Examples of eigenvalues of Hecke operators on Siegel cusp forms of degree two. Invent. Math. 49 (1978) 149-165. | Zbl | MR

12 P. Kutzko and P.J. Salley, Jr., Supercuspidal Representations of SL2, preprint.

13 R.P. Langlands, Automorphic representations, Shimura varieties and motives, ein märchen. Proc. Symp. Pure. Math., Vol. 33, A.M.S. (1979). | Zbl | MR

14 J. Li, Non-existence of singular cusp forms, preprint.

15 J. Li, Distinguished cusp form are theta series, preprint.

16 J. Li, Singular unitary representations of classical groups, preprint.

17 I.I. Piatetski-Shapiro, Distinguished representations and Tate theory for reductive groups, Proceedings, International Congress of Mathematicians, Helsinki, (1978). | Zbl

18 S. Rallis and G. Schiffmann, Représentation Supercuspidales du groupe Métaplectique, J. Math. Kyoto Univ., 17(3) (1977). | Zbl | MR

19 R. Scaramuzzi, On a notion of rank for unitary representations of general linear groups, Thesis, Yale (1985). | Zbl

20 W. Scharlau, Quadratic and Hermitian Forms, Springer-Verlag (1985). | Zbl | MR

21 D. Vogan, Unitary Representations of reductive Lie Groups, Ann. Math. Studies 118 (1987). | Zbl | MR

22 J.L. Waldspurger, Correspondance de Shimura, J. Math. Pures et Appl. 59 (1980) 1-133. | Zbl | MR

23 G.E. Wall, The structure of a unitary factor group. Publ. Math. Inst. Hautes Etudes Scient., No. 1 (1959). | Zbl | MR | mathdoc-id

24 Z.X. Wan, On the commutator subgroup of the unitary group. Sci. Rec. 4 (1960), 343-348. | Zbl | MR

25 A. Weil, Sur certains groups d'operateurs unitaires, Acta Math. III (1964) 142-211. | Zbl | MR

26 A. Weil, Sur la formulae de Siegel dans la theorie des groupes classiques, Acta Math. 113 (1965) 1-87. | Zbl | MR