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The main involutions of the metaplectic group
Author(s):
Anthony
C.
Kable
Journal:
Proc. Amer. Math. Soc.
127
(1999),
955-962.
MSC (1991):
Primary 19C09, 20G99
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Abstract:
We determine the set of automorphisms of a metaplectic group which lift the main involution of the general linear group over an infinite field. Some basic properties of these automorphisms are also established.
References:
- 1.
- William D. Banks, Jason Levy, and Mark R. Sepanski, Block-Compatible Metaplectic Cocycles, preprint, 1998.
- 2.
- D. A. Kazhdan and S. J. Patterson, Metaplectic Forms, Publ. Math. IHES 59 (1984), 35-142. MR 85g:22033; MR 87h:22024
- 3.
- D. A. Kazhdan and S. J. Patterson, Towards a Generalized Shimura Correspondence, Adv. in Math. 60 (1986), 161-234. MR 87m:22050
- 4.
- Hidaya Matsumoto, Sur les Sous-Groupes Arithmétiques des Groupes Semi-Simples Déployés, Ann. scient. Éc. Norm. Sup. 2 (1969), 1-62. MR 39:1566
- 5.
- John Milnor, Introduction to Algebraic K-Theory, Annals of Mathematics Studies, vol. 72, Princeton University Press, Princeton, New Jersey, 1971. MR 50:2304
- 6.
- L. S. Pontryagin, Topological Groups, second ed., Gordon and Breach, New York, 1966, trans. by A. Brown. MR 34:1439
- 7.
- Edwin Weiss, Cohomology of Groups, Pure and Applied Mathematics, vol. 34, Academic Press, New York and London, 1969. MR 41:8499
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Additional Information:
Anthony
C.
Kable
Affiliation:
Department of Mathematics, Oklahoma State University, Stillwater, Oklahoma 74078
Address at time of publication:
Department of Mathematics, Cornell University, White Hall, Ithaca, New York 14853-7901
DOI:
10.1090/S0002-9939-99-04923-0
PII:
S 0002-9939(99)04923-0
Received by editor(s):
July 10, 1997
Communicated by:
Ronald M. Solomon
Copyright of article:
Copyright
1999,
American Mathematical Society
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