Open AccessTheta correspondences for ๐บ๐๐(4)
Author(s) -
Wee Teck Gan,
Shuichiro Takeda
Publication year - 2011
Publication title -
representation theory
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.169
H-Index - 37
ISSN - 1088-4165
DOI - 10.1090/s1088-4165-2011-00405-2
Subject(s) - annotation , algorithm , computer science , type (biology) , artificial intelligence , mathematics , biology , ecology
We explicitly determine the theta correspondences for GSp 4 \operatorname {GSp}_4 and orthogonal similitude groups associated to various quadratic spaces of rank 4 4 and 6 6 . The results are needed in our proof of the local Langlands correspondence for GSp 4 \operatorname {GSp}_4 .