✦ LIBER ✦
Almost unramified automorphic representations for split groups over Fq(t)
✍ Scribed by Amritanshu Prasad
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 100 KB
- Volume
- 262
- Category
- Article
- ISSN
- 0021-8693
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✦ Synopsis
Let G be a split semisimple group over a finite field F q , F the field F q (t) of rational functions in t with coefficients in F q and A the adèles of F. We describe the irreducible automorphic representations of G(A) which have non-zero vectors invariant under Iwahori subgroups at two places and under maximal compact subgroups at all other places in terms of the irreducible squareintegrable representations of an Iwahori-Hecke algebra associated to G and the Satake isomorphism.