TY - JOUR
T1 - A short proof of Timashev’s theorem on the real component group of a real reductive group
AU - Borovoi, Mikhail
AU - Gabber, Ofer
N1 - Publisher Copyright:
© 2022, Springer Nature Switzerland AG.
PY - 2023/1
Y1 - 2023/1
N2 - Using results of Cartan, Matsumoto, and Casselman, we give a short proof of Timashev’s theorem computing the real component group πG(R) of a connected reductive R-group G in terms of a maximal torus of G containing a maximal split torus.
AB - Using results of Cartan, Matsumoto, and Casselman, we give a short proof of Timashev’s theorem computing the real component group πG(R) of a connected reductive R-group G in terms of a maximal torus of G containing a maximal split torus.
KW - Maximal split torus
KW - Real component group
KW - Real reductive group
UR - http://www.scopus.com/inward/record.url?scp=85142129848&partnerID=8YFLogxK
U2 - 10.1007/s00013-022-01798-y
DO - 10.1007/s00013-022-01798-y
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AN - SCOPUS:85142129848
SN - 0003-889X
VL - 120
SP - 9
EP - 13
JO - Archiv der Mathematik
JF - Archiv der Mathematik
IS - 1
ER -