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Shimizu's lemma for classical groups
Author(s) -
Hattori Toshiaki
Publication year - 2018
Publication title -
proceedings of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.899
H-Index - 65
eISSN - 1460-244X
pISSN - 0024-6115
DOI - 10.1112/plms.12155
Subject(s) - lemma (botany) , mathematics , rank (graph theory) , classical group , combinatorics , pure mathematics , lie group , ecology , poaceae , biology
Let G be a non‐compact classical Lie group of rank greater than one. We find a version of Shimizu's lemma for G . We also consider the geometric meaning of this lemma in the higher rank situation compared with the rank 1 case.
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