On some explicit formulas in the theory of weil representation

Pacific Journal of Mathematics

Volumn 157, Issue 2, 1993, Pages 335-371

  Ranga Rao, R ^a  

^a UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84967594482     PISSN: 00308730     EISSN: None     Source Type: Journal    
DOI: 10.2140/pjm.1993.157.335     Document Type: Article

References (21)

1. N. Bourbaki, Algèbres, Chapter 9, Hermann, Paris, 1959.
2. F. Bruhat, Distributions sur un groupe localement compact et applications, Bull. Soc. Math, de France, 89 (1961), 43-75.
3. P. Cartier, Über einige Integral formein in der theorie der quadratische formen, Math. Z., 84 (1964), 93-100.
4. S. S. Gelbart, Weil’s Representation and the Spectrum of the Metaplectic Group, Lecture Notes in Math., vol. 530, Springer-Verlag, New York, 1976.
5. Paul Gérardin, Weil representations associated to finite fields, J. Algebra, 46 (1977), 54-102.
6. V. Guillemin and S. Sternberg, Geometric asymptotics, Math. Surveys no. 14, Amer. Math. Soc., Providence, RI, 1977.
7. T. Kubota, Topological covering of SL(2) over a local field, J. Math. Soc. Japan, 19 (1967), 114-121.
8. Jean Leray, Complèment à la théorie d’Arnold de l’indice de Maslov, Symposia Math., XIV (1974), 33-53.
9. G. Lion, Integrales Interlacement sur des Groupes de Lie Nilpotents et Indices de Maslov, Lecture Notes in Math., vol. 587, Springer-Verlag, New York, 1977, pp. 160-177.
10. G. W. Mackey, The theory of unitary representations, Chicago Lectures in Math., Chicago Univ. Press, 1976.
11. S. Rallis and G. Schiffman, Distribution Invariant par le Groupe Orthogonal, Lecture Notes in Math., vol. 497, Springer-Verlag, New York, 1975, pp. 494-643.
12. M. Saito, Representations unitaires des groupes symplectiques, J. Math. Soc. Japan, 24 (1972), 232-252.
13. I. E. Segal, Transforms for operators and symplectic automorphisms over a locally compact abelian group, Math. Scand., 12-13 (1963), 31-43.
14. J. P. Serre, A Course in Arithmetic, Springer, New York, 1973.
15. D. Shale, Linear symmetries of free boson fields, Trans. Amer. Math. Soc., 103 (1962), 149-167.
16. A. Weil, Sur certaines groupes d’opérateurs unitaires, Acta Math., 11 (1964), 143-211.
17. N. R. Wallach, Symplectic Geometry and Fourier Analysis, Math. Sci. Press, Brookline, Massachusetts, 1977.
18. C. C. Moore, Group extensions of p-adic and adelic linear groups, I.H. E. S., 1968.
19. G. B. Folland, Harmonie analysis in phase space, Ann. of Math. Studies, Princeton University Press, 1989.
20. G. Lion and M. Vergne, The Weil representation Maslov index and Theta series, Progress in Math., vol. 6, Birkhäuser, Boston, 1980.
21. C. Moeglin, M. F. Vigneras, and J. L. Waldspurger, Correspondences de Howe sur un Corps p-adique, Lecture Notes in Math., vol. 1291, Springer-Verlag, Berlin, 1987.