Metaplectic forms

 Access to full text

 Full (PDF)

1. [1] H. ARITÜRK, On the composition series of principal series representations of a 3-fold covering group of SL(2,k), Nagoya Math. J., 77 (1980), 177-196. Zbl0405.22014MR81c:22027
2. [2] H. BASS, J. MILNOR and J.-P. SERRE, Solution of the congruence subgroup problem for SLn (n≥3) and Sp2n (n≥2), Publ. Math. IHES, 33 (1967), 59-137. Zbl0174.05203MR39 #5574
3. [3] I. N. BERNSTEIN and A. V. ZELEVINSKI, Induced representations of reductive p-adic groups, Ann. scient. Ec. Norm. Sup., 10 (1977), 441-472. Zbl0412.22015MR58 #28310
4. [4] A. BOREL and Harish-CHANDRA, Arithmetic subgroups of algebraic groups, Annals of Math., 75 (1962), 485-532. Zbl0107.14804MR26 #5081
5. [5] P. DELIGNE, Notes on metaplectic groups (Unpublished). 
6. [6] P. DELIGNE, Sommes de Gauss cubiques et revêtements de SL(2). Sém. Bourbaki, Juin 1979, exposé n° 539 ; Springer Lecture Notes, 770 (1980), 244-277. Zbl0433.10018MR81k:10047
7. [7] Y. FLICKER, Automorphic forms on covering groups of GL(2), Inv. Math., 57 (1980), 119-182. Zbl0431.10014MR81m:10057
8. [8] S. GELBART, Weil's representation and the spectrum of the metaplectic group, Springer Lecture Notes, 530 (1976). Zbl0365.22017MR54 #12654
9. [9] S. GELBART, R. HOWE and I. I. PIATETSKII-SHAPIRO, Existence and uniqueness of Whittaker models for the metaplectic group, Israeli Math. J., 34 (1979), 21-37. Zbl0441.22015
10. [10] S. GELBART and I. I. PLATETSKII-SHAPIRO, On Shimura's correspondence for modular forms of half-integral weight, Proceedings, Colloquium on Automorphic Forms, Representation Theory and Arithmetic, Bombay, 1979, 1-39. Zbl0495.10020
11. [11] S. GELBART and I. I. PLATETSKII-SHAPIRO, Distinguished representations and modular forms of half-integral weight, Inv. Math., 59 (1980), 145-188. Zbl0426.10027MR82b:10035
12. [12] I. M. GELFAND, M. I. GRAEV and I. I. PIATETSKII-SHAPIRO, Representation Theory and Automorphic Functions, Nauka (1966) (Russian), Saunders (1969) (English). Zbl0138.07201
13. [13] I. M. GELFAND and D. A. KAZHDAN, Representations of the group GL(n,K) where K is a local field, Lie Groups, Budapest, Ed. I. M. Gelfand, 1974. Zbl0348.22011
14. [14] I. M. GELFAND and M. I. NAIMARK, Unitary Representations of the Classical Groups, Trudy Mat. Inst. Steklov, 36, 1950 (Russian), Akademie-Verlag Berlin, 1958 (German). 
15. [15] G. HARDER, Minkowski'sche Reduktionstheorie über Funktionenkörper, Inv. Math., 7 (1969), 107-149. Zbl0242.20046MR44 #1667
16. [16] G. HARDER, Chevalley groups over function fields and automorphic forms, Annals of Math., 100 (1974), 249-306. Zbl0309.14041MR58 #27799
17. [17] HARISH-CHANDRA and VAN DIJK, Harmonic Analysis on Reductive p-adic Groups, Springer Lecture Notes, 162 (1970). Zbl0202.41101MR54 #2889
18. [18] HARISH-CHANDRA, Admissible invariant distributions on reductive p-adic groups, Princeton, Preprint, IAS. Zbl0433.22012
19. [19] HARISH-CHANDRA, A submersion principle and its applications, Geometry and Analysis, Papers dedicated to the Memory of V. K. Patodi, Springer-Verlag, 1981, 95-102. Zbl0485.22023MR83h:22031
20. [20] E. HECKE, Gesammelte Werke, Vandenhoeck u. Ruprecht, 1970. 
21. [21] R. HOWE, The Fourier transform and germs of characters (case of GLn over a p-adic field), Math. Ann., 208 (1974), 305-322. Zbl0266.43007MR49 #7391
22. [22] H. JACQUET, Fonctions de Whittaker associées aux groupes de Chevalley, Bull. Soc. Math., France, 95 (1967), 243-309. Zbl0155.05901MR42 #6158
23. [23] H. JACQUET and R. P. LANGLANDS, Automorphic Forms on GL(2), Springer Lecture Notes, 114 (1970). Zbl0236.12010MR53 #5481
24. [24] M. KNESER, Strong Approximation, Proc. Symp. Pure Math., IX (1966), 187-196. Zbl0201.37904MR35 #4225
25. [25] T. KUBOTA, Topological covering of SL(2) over a local field, J. Math. Soc. Japan, 19 (1967), 114-121. Zbl0166.29603MR34 #4264
26. [26] T. KUBOTA, Automorphic Forms and the Reciprocity Law in a Number Field, Kyoto Univ., 1969. Zbl0231.10017
27. [27] T. KUBOTA, Some results concerning reciprocity and functional analysis, Actes du Congr. Int. Math à Nice, 1970, t. I, 395-399. Zbl0275.12006MR55 #2758
28. [28] T. KUBOTA, Some number-theoretical results on real-analytic automorphic forms, Several Complex Variables II, Maryland, 1970, Springer Lecture Notes, 185 (1971), 87-96. Zbl0212.06901MR47 #3320
29. [29] R. P. LANGLANDS, On the Functional Equations satisfied by Eisenstein Series, Springer Lecture Notes, 544 (1976). Zbl0332.10018MR58 #28319
30. [30] R. P. LANGLANDS, The volume of the fundamental domain for some arithmetical subgroups, Proc. Symp. Pure Math., IX (1966), 143-148. Zbl0218.20041MR35 #4226
31. [31] R. P. LANGLANDS, On the Classification of Irreductible Representations of Real Algebraic Groups, Lecture Notes, Princeton, IAS. Zbl0741.22009
32. [32] H. MATSUMOTO, Sur les sous-groupes arithmétiques des groupes semi-simples déployés, Ann. scient., Ec. Norm. Sup., (1969), 1-62. Zbl0261.20025MR39 #1566
33. [33] J. MILNOR, An introduction to algebraic K-theory, Annals of Mathematics Studies, 72, 1971. Zbl0237.18005MR50 #2304
34. [34] C. MOEN, Ph. D. Thesis, Univ. of Chicago, 1979. 
35. [35] C. C. MOORE, Group extensions of p-adic and adelic linear groups, Publ. Math. IHES, 35 (1968), 157-222. Zbl0159.03203MR39 #5575
36. [36] L. E. MORRIS, Eisenstein series for reductive groups over global function fields, Canad. Math. J., 34 (1982), 91-168. Zbl0499.22021MR84j:22024a
37. [37] S. J. PATTERSON, A cubic analogue of the theta series, J. für die r.u.a. Math., 296 (1977), 125-161, 217-220. Zbl0358.10011MR58 #27795a
38. [38] S. J. PATTERSON, The constant term of the cubic theta series, J. für die r.u.a. Math., 336 (1982), 185-190. Zbl0484.10018MR84a:10024
39. [39] S. J. PATTERSON, On the distribution of general Gauss sums at prime arguments, Recent Progress in Analytic Number Theory, Vol. 2, Academic Press, 1981. Zbl0463.10027
40. [40] I. I. PIATETSKII-SHAPIRO, Euler subgroups, Lie Groups, Budapest, Ed. I. M. Gelfand, 1974. 
41. [41] F. RODIER, Modèle de Whittaker et charactères de représentations. Non-Commutative Harmonic Analysis, Proceedings, 1976, Springer Lecture Notes, 466 (1977), 117-195. Zbl0339.22014
42. [42] J.-P. SERRE and H. STARK, Modular forms of weight 1/2, Modular Forms in One Varible VI, Bonn, 1976, Springer Lecture Notes, 627 (1977), 27-67. Zbl0371.10019MR57 #12400
43. [43] F. SHAHIDI, Functional equation satisfied by certain L-series, Comp. Math., 37 (1978), 171-207. Zbl0393.12017MR58 #16603
44. [44] F. SHAHIDI, Whittaker models for real groups, Duke Math. J., 47 (1980), 99-125. Zbl0433.22007MR81d:22020
45. [45] J. SHALIKA, The multiplicity one theorem for GL(n), Annals of Math., 100 (1974), 171-193. Zbl0316.12010MR50 #545
46. [46] A. J. SILBERGER, Introduction to Harmonic Analysis on Reductive p-adic Groups, Princeton Math. Notes, 23, 1979. Zbl0458.22006MR81m:22025
47. [47] R. STEINBERG, Lectures on Chevalley Groups, Lectures Notes, Yale Math. Dept., 1968. Zbl1196.22001MR57 #6215
48. [48] A. WEIL, L'intégration dans les groupes topologiques et ses applications, Hermann, 1940. Zbl0063.08195MR3,198bJFM66.1205.02
49. [49] A. WEIL, Sur certains groupes d'opérateurs unitaires, Acta Math., 111 (1964), 143-211. Zbl0203.03305MR29 #2324
50. [50] A. WEIL, Basic Number Theory, Springer, 1967. Zbl0176.33601MR38 #3244

1. Omer Offen, Kloosterman-Fourier inversion for symmetric matrices
2. S. J. Patterson, Metaplectic forms and Gauss sums I
3. Richard Hill, Metaplectic covers of $G{L}_n$ and the Gauss-Schering lemma
4. Tamotsu Ikeda, On the location of poles of the triple $L$-functions
5. Corinne Blondel, Uniqueness of Whittaker model for some supercuspidal representations of the metaplectic group
6. Anthony C. Kable, The tensor product of exceptional representations on the general linear group
7. Jing-Song Huang, Metaplectic correspondences and unitary representations
8. S. J. Patterson, The asymptotic distribution of Kloosterman sums
9. Wen-Wei Li, La formule des traces pour les revêtements de groupes réductifs connexes. II. Analyse harmonique locale
10. Yuval Z. Flicker, David A. Kazhdan, Metaplectic correspondence