No CrossRef data available.
Article contents
Regular Germs For -Adic Sp(4)
Published online by Cambridge University Press: 20 November 2018
Extract
Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.
Shalika [6] proved the existence of germs (associated with a connected semi-simple algebraic group and a maximal torus over a non-archimedean local field), established many of their properties, and conjectured that the germ associated to the trivial unipotent class in GL(n) should be a constant. R. Howe and Harish-Chandra proved that it is a constant and J. Rogawski [5] proved that it had the value predicted previously by J. Shalika.
- Type
- Research Article
- Information
- Copyright
- Copyright © Canadian Mathematical Society 1989
References
1.
Langlands, R. P. and Shelstad, D., On the definition of transfer factors, preprint (1986).Google Scholar
2.
Repka, J., Shalika's germs for -adic GL(n) I: the leading term, Pacific J. Math. (1983).Google Scholar
3.
Repka, J., Shalika's germs for -adic GL(n) II: the sub-regular term, Pacific J. Math. (1983).Google Scholar
4.
Repka, J., Germs associated to regular unipotent classes in -adic SL(n), Canad. Math. Bull.
28 (1985).Google Scholar
5.
Rogawski, J., An application of the building to orbital integrals, Compositio Math. 42 (1981), 417–423.Google Scholar
6.
Shalika, J. A., A theorem on semi-simple -adic groups, Annals of Math. 95 (1972), 226–242.Google Scholar
You have
Access