@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}, volume = {72}, year = {1989}, pages = {29-48}, mrnumber = {1008803}, zbl = {0694.22012}, language = {en}, url = {http://dml.mathdoc.fr/item/CM_1989__71_1_29_0} }
Li, Jian-Shu. On the classification of irreducible low rank unitary representations of classical groups. Compositio Mathematica, Tome 72 (1989) pp. 29-48. http://gdmltest.u-ga.fr/item/CM_1989__71_1_29_0/
1 La géométrie des groupes classiques, 2nd edn. Springer-Verlag, (1963). | MR 158011 | Zbl 0111.03102
,2 Representations of a group of the second order with elements from a locally compact field, Russian Math. Surveys 18 (1863) 29-100. | MR 155931 | Zbl 0166.40201
and ,3 Distinguished representations and Modular Forms of half-integral weight, Invent. Math. 59 (1980) 145-188. | MR 577359 | Zbl 0426.10027
, and ,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 0423.22016
,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. | MR 880374 | Zbl 0635.22014
,8 Asymptotic properties of unitary representations, J. Func. Anal. 32 (1979) 72-96. | MR 533220 | Zbl 0404.22015
and ,9 A counterexample to the generalized Ramanujan Conjecture, in Proc. Symp. Pure. Math., Vol. 33, A.M.S. (1979). | Zbl 0423.22018
and ,10 Some applications of the Weil representation, Journal d'Analyse Mathematique 32 (1977) 235-248. | MR 492089 | Zbl 0445.22018
,11 Examples of eigenvalues of Hecke operators on Siegel cusp forms of degree two. Invent. Math. 49 (1978) 149-165. | MR 511188 | Zbl 0397.10018
,12 Supercuspidal Representations of SL2, preprint.
and ,13 Automorphic representations, Shimura varieties and motives, ein märchen. Proc. Symp. Pure. Math., Vol. 33, A.M.S. (1979). | MR 546619 | Zbl 0447.12009
,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 0443.12003
,18 Représentation Supercuspidales du groupe Métaplectique, J. Math. Kyoto Univ., 17(3) (1977). | MR 498395 | Zbl 0398.22023
and ,19 On a notion of rank for unitary representations of general linear groups, Thesis, Yale (1985). | Zbl 0704.22012
,20 Quadratic and Hermitian Forms, Springer-Verlag (1985). | MR 770063 | Zbl 0584.10010
,21 Unitary Representations of reductive Lie Groups, Ann. Math. Studies 118 (1987). | MR 908078 | Zbl 0626.22011
,22 Correspondance de Shimura, J. Math. Pures et Appl. 59 (1980) 1-133. | MR 577010 | Zbl 0412.10019
,23 The structure of a unitary factor group. Publ. Math. Inst. Hautes Etudes Scient., No. 1 (1959). | Numdam | MR 104764 | Zbl 0087.02202
,24 On the commutator subgroup of the unitary group. Sci. Rec. 4 (1960), 343-348. | MR 130305 | Zbl 0098.25304
,25 Sur certains groups d'operateurs unitaires, Acta Math. III (1964) 142-211. | MR 165033 | Zbl 0203.03305
,26 Sur la formulae de Siegel dans la theorie des groupes classiques, Acta Math. 113 (1965) 1-87. | MR 223373 | Zbl 0161.02304
,