Isometries of Hermitian symmetric spaces
Isometries of Hermitian symmetric spaces
Isometries of Hermitian symmetric spaces
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I(M) : the group <strong>of</strong> isometries <strong>of</strong> M<br />
T(M) : the transvection group <strong>of</strong> M, i.e., a subgroup <strong>of</strong><br />
I(M) generated by {sp ◦ sq | p, q ∈ M}, which is coincides<br />
with the identity component I0(M) <strong>of</strong> I(M)<br />
If f ∈ T(M), f can be extended to a linear isometry <strong>of</strong> p<br />
since every geodesic symmetry sp has the extension ρp.<br />
But what about arbitrary isometry?<br />
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