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Sign changes in harmonic analysis on reductive groups
Author:
Robert E. Kottwitz
Journal:
Trans. Amer. Math. Soc. 278 (1983), 289-297
MSC:
Primary 22E35; Secondary 22E30
MathSciNet review:
697075
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Abstract: Let  be a connected reductive group over a field  . In this note the author constructs an element  of the Brauer group of  . The square of this element is trivial. For a local field,  may be regarded as an element of  and is needed for harmonic analysis on reductive groups over that field. For a global field there is a product formula.
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- D. Flath, A comparison of the automorphic representations of
 and its twisted forms, Thesis, Harvard University, 1977; Pacific J. Math. (to appear). MR 641166 (83d:22013)
- [2]
- S. Gelbart and H. Jacquet, Forms of
 from the analytic point of view, Proc. Sympos. Pure Math., vol. 33, part 1, Amer. Math. Soc., Providence, R.I., 1979, pp. 213-251. MR 546600 (81e:10024)
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- H. Jacquet and R. P. Langlands, Automorphic forms on
 , Lecture Notes in Math., vol. 114, Springer-Verlag, Berlin, Heidelberg and New York, 1970. MR 0401654 (53:5481)
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- R. Kottwitz, Orbital integrals and base change, Proc. Sympos. Pure Math., vol. 33, part 2, Amer. Math. Soc., Providence, R.I., 1979, pp. 111-113. MR 546612 (81f:22030)
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- R. P. Langlands, Stable conjugacy: definitions and lemmas, Canad. J. Math. 31 (1979), 700-725. MR 540901 (82j:10054)
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- S. Shatz, Profinite groups, arithmetic, and geometry, Ann. of Math. Studies, no. 67, Princeton Univ. Press and Univ. of Tokyo Press, 1972. MR 0347778 (50:279)
- [8]
- D. Shelstad, Characters and inner forms of a quasi-split group over
 , Comp. Math. 39 (1979), 11-45. MR 539000 (80m:22023)
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9947-1983-0697075-6
PII:
S 0002-9947(1983)0697075-6
Article copyright:
© Copyright 1983 American Mathematical Society
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