Shalika’s germs for p-adic GL(n). II. The subregular term

Joe Repka

Vol. 113 (1984), No. 1, 173–182

DOI: 10.2140/pjm.1984.113.173

Abstract

For an elliptic torus in GL(n) over a p-adic field an explicit formula is established for the germ associated to the “subregular” unipotent class, i.e. the class whose Jordan canonical form contains a 1 × 1 block and an (n − 1) × (n − 1) block. In particular this, together with previously known information, gives all the germs for GL(3).

Mathematical Subject Classification 2000

Primary: 22E50

Milestones

Received: 29 September 1982

Published: 1 July 1984