Geodesic
Germs Associated to Regular Unipotent Classes in p-adic SL(n)
Canadian mathematical bulletin, Tome 28 (1985) no. 3, pp. 257-266

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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.
DOI : 10.4153/CMB-1985-031-x
Mots-clés : 22E35 
Repka, Joe. Germs Associated to Regular Unipotent Classes in p-adic SL(n). Canadian mathematical bulletin, Tome 28 (1985) no. 3, pp. 257-266. doi: 10.4153/CMB-1985-031-x
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[1] 1. Joe, Repka, Shalika's Germs for p-adic GL(n): The Leading Term, Pac. J. Math., 113 (1984), pp. 165–172. Google Scholar

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[3] 3. Rogawski, J., An Application of the Building to Orbital Integrals, Compositio Math. 42 (1981), pp. 417–423. Google Scholar

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