Generic representations;
cuspidal representations;
unitary group in 3 variables;
Bushnell-Kutzko types;
MAXIMAL SIMPLE TYPES;
D O I:
10.1515/forum-2020-0099
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
Let F be a non-Archimedean local field, and let sigma be a non-trivial Galois involution with fixed field F-0. When the residue characteristic of F-0 is odd, using the construction of cuspidal representations of classical groups by Stevens, we classify generic cuspidal representations of U(2, 1)(F/F-0).
机构:
Osaka Prefecture Univ, Fac Liberal Arts & Sci, Naka Ku, Sakai, Osaka 5998531, JapanOsaka Prefecture Univ, Fac Liberal Arts & Sci, Naka Ku, Sakai, Osaka 5998531, Japan
机构:
Osaka Prefecture Univ, Fac Liberal Arts & Sci, Naka Ku, Sakai, Osaka 5998531, JapanOsaka Prefecture Univ, Fac Liberal Arts & Sci, Naka Ku, Sakai, Osaka 5998531, Japan
机构:
Hokkaido Univ, Dept Math, Kita 10,Nishi 8,Kita Ku, Sapporo, Hokkaido 0600810, JapanHokkaido Univ, Dept Math, Kita 10,Nishi 8,Kita Ku, Sapporo, Hokkaido 0600810, Japan
Cai, Yuanqing
Friedberg, Solomon
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机构:
Boston Coll, Dept Math, Chestnut Hill, MA USAHokkaido Univ, Dept Math, Kita 10,Nishi 8,Kita Ku, Sapporo, Hokkaido 0600810, Japan