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