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Germs Associated to Regular Unipotent Classes in p-adic SL(n)

Published online by Cambridge University Press:  20 November 2018

Joe Repka*
Affiliation:
Department Of Mathematics, University of Toronto, Toronto, Ontario, CanadaM5S 1A1
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Abstract

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For an elliptic torus in SL(n), explicit formulae are given for the germs which are associated to the regular unipotent conjugacy classes. Using them, a formula is found for the germ associated to the "subregular" class, the class whose Jordan canonical form contains a 1 x 1 and an (n - 1) x (n - 1) block.

Keywords

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1985

References

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4. Shalika, J.A., A Theorem on Semi-simple p-adic Groups, Annals of Math. 95 (1972), pp. 226242.Google Scholar