@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 = {https://www.numdam.org/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 - https://www.numdam.org/item/CM_1989__71_1_29_0/ LA - en ID - CM_1989__71_1_29_0 ER -
Li, Jian-Shu. On the classification of irreducible low rank unitary representations of classical groups. Compositio Mathematica, Volume 71 (1989) no. 1, pp. 29-48. https://www.numdam.org/item/CM_1989__71_1_29_0/
1 , La géométrie des groupes classiques, 2nd edn. Springer-Verlag, (1963). | Zbl | MR
2 and , 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 , and , Distinguished representations and Modular Forms of half-integral weight, Invent. Math. 59 (1980) 145-188. | Zbl | MR
4 , L2-duality in the stable range, Preprint.
5 , A notion of rank for unitary representations of classical groups, C.I.M.E. Summer School on Harmonic analysis, Cortona (1980).
6 , θ series and invariant theory, Proc. Symp. Pure Math., Vol. 33, A.M.S., (1979). | Zbl
7 , 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 and , Asymptotic properties of unitary representations, J. Func. Anal. 32 (1979) 72-96. | Zbl | MR
9 and , A counterexample to the generalized Ramanujan Conjecture, in Proc. Symp. Pure. Math., Vol. 33, A.M.S. (1979). | Zbl
10 , Some applications of the Weil representation, Journal d'Analyse Mathematique 32 (1977) 235-248. | Zbl | MR
11 , Examples of eigenvalues of Hecke operators on Siegel cusp forms of degree two. Invent. Math. 49 (1978) 149-165. | Zbl | MR
12 and , Supercuspidal Representations of SL2, preprint.
13 , Automorphic representations, Shimura varieties and motives, ein märchen. Proc. Symp. Pure. Math., Vol. 33, A.M.S. (1979). | Zbl | MR
14 , Non-existence of singular cusp forms, preprint.
15 , Distinguished cusp form are theta series, preprint.
16 , Singular unitary representations of classical groups, preprint.
17 , Distinguished representations and Tate theory for reductive groups, Proceedings, International Congress of Mathematicians, Helsinki, (1978). | Zbl
18 and , Représentation Supercuspidales du groupe Métaplectique, J. Math. Kyoto Univ., 17(3) (1977). | Zbl | MR
19 , On a notion of rank for unitary representations of general linear groups, Thesis, Yale (1985). | Zbl
20 , Quadratic and Hermitian Forms, Springer-Verlag (1985). | Zbl | MR
21 , Unitary Representations of reductive Lie Groups, Ann. Math. Studies 118 (1987). | Zbl | MR
22 , Correspondance de Shimura, J. Math. Pures et Appl. 59 (1980) 1-133. | Zbl | MR
23 , The structure of a unitary factor group. Publ. Math. Inst. Hautes Etudes Scient., No. 1 (1959). | Zbl | MR | Numdam
24 , On the commutator subgroup of the unitary group. Sci. Rec. 4 (1960), 343-348. | Zbl | MR
25 , Sur certains groups d'operateurs unitaires, Acta Math. III (1964) 142-211. | Zbl | MR
26 , Sur la formulae de Siegel dans la theorie des groupes classiques, Acta Math. 113 (1965) 1-87. | Zbl | MR





