The main involutions of the metaplectic group
HTML articles powered by AMS MathViewer
- by Anthony C. Kable PDF
- Proc. Amer. Math. Soc. 127 (1999), 955-962 Request permission
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
- William D. Banks, Jason Levy, and Mark R. Sepanski, Block-Compatible Metaplectic Cocycles, preprint, 1998.
- D. A. Kazhdan and S. J. Patterson, Metaplectic forms, Inst. Hautes Études Sci. Publ. Math. 59 (1984), 35–142. MR 743816, DOI 10.1007/BF02698770
- D. A. Kazhdan and S. J. Patterson, Towards a generalized Shimura correspondence, Adv. in Math. 60 (1986), no. 2, 161–234. MR 840303, DOI 10.1016/S0001-8708(86)80010-X
- Hideya Matsumoto, Sur les sous-groupes arithmétiques des groupes semi-simples déployés, Ann. Sci. École Norm. Sup. (4) 2 (1969), 1–62 (French). MR 240214, DOI 10.24033/asens.1174
- John Milnor, Introduction to algebraic $K$-theory, Annals of Mathematics Studies, No. 72, Princeton University Press, Princeton, N.J.; University of Tokyo Press, Tokyo, 1971. MR 0349811
- L. S. Pontryagin, Topological groups, Gordon and Breach Science Publishers, Inc., New York-London-Paris, 1966. Translated from the second Russian edition by Arlen Brown. MR 0201557
- Edwin Weiss, Cohomology of groups, Pure and Applied Mathematics, Vol. 34, Academic Press, New York-London, 1969. MR 0263900
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
- ORCID: 0000-0002-2981-3385
- Received by editor(s): July 10, 1997
- Communicated by: Ronald M. Solomon
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 127 (1999), 955-962
- MSC (1991): Primary 19C09, 20G99
- DOI: https://doi.org/10.1090/S0002-9939-99-04923-0
- MathSciNet review: 1610921