Isometries of Hermitian symmetric spaces
Isometries of Hermitian symmetric spaces
Isometries of Hermitian symmetric spaces
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3. <strong>Isometries</strong> <strong>of</strong> <strong>Hermitian</strong> <strong>symmetric</strong> <strong>spaces</strong><br />
P : a semisimple <strong>Hermitian</strong> <strong>symmetric</strong> space (i.e., <strong>of</strong><br />
compact type or noncompact type)<br />
I(P ) : the isometry group <strong>of</strong> P<br />
A(P ) : the holomorphic isometry group <strong>of</strong> P<br />
T(P ) : the transvection group <strong>of</strong> P<br />
G := I0(P ) = A0(P ) = T(P )<br />
g = Lie(G) : semisimple<br />
J : the complex structure <strong>of</strong> P<br />
p ∈ P<br />
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