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Regular Germs For -Adic Sp(4)

Published online by Cambridge University Press:  20 November 2018

Kim Yangkon
Kim Yangkon*
Affiliation:
Jeonbug National University, Jeonbug, South Korea
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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
Canadian Journal of Mathematics , Volume 41 , Issue 4 , 01 August 1989 , pp. 626 - 641
Copyright
Copyright © Canadian Mathematical Society 1989

References

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6. Shalika, J. A., A theorem on semi-simple -adic groups, Annals of Math. 95 (1972), 226–242.Google Scholar
7. Shelstad, D., A formula for regular unipotent germs, preprint, (1987).Google Scholar