On the Fundamental Group of a Simple Lie Group
1970 ◽
Vol 40
◽
pp. 147-159
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Keyword(s):
Let G be a simply connected simple Lie group and C the center of G, which is isomorphic with the fundamental group of the adjoint group of G. For an element c of C, an element x of the Lie algebra g of G is called a representative of c in g if exp x = c. Sirota-Solodovnikov [7] found a complete set of representatives of the center C in g and studied the group structure of C, and using their results Goto-Kobayashi [1] classified subgroups of the center C with respect to automorphisms of G. The group structure of C was also studied in Takeuchi [8],
2011 ◽
Vol 148
(3)
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pp. 807-834
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Keyword(s):
1992 ◽
Vol 34
(3)
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pp. 379-394
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Keyword(s):
1988 ◽
Vol 45
(1)
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pp. 78-82
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Keyword(s):
2013 ◽
Vol 15
(03)
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pp. 1250056
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Keyword(s):
1986 ◽
Vol 40
(1)
◽
pp. 89-94
Keyword(s):
2008 ◽
Vol 144
(4)
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pp. 1017-1045
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Keyword(s):
2021 ◽
pp. 2150068
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