Journal of Lie Theory 23 (2013), No. 1, 113--118
Copyright Heldermann Verlag 2013
Isometries of Hermitian Symmetric Spaces
Jost-Hinrich Eschenburg
Institut für Mathematik, Universität Augsburg, 86135 Augsburg, Germany
eschenburg@math.uni-augsburg.de
Peter Quast
Institut für Mathematik, Universität Augsburg, 86135 Augsburg, Germany
peter.quast@math.uni-augsburg.de
Makiko Sumi Tanaka
Faculty of Science and Technology, Tokyo University of Science, Noda -- Chiba 278-8510, Japan
tanaka_makiko@ma.noda.tus.ac.jp
We show that every isometry of a canonically embedded hermitian symmetric space extends to an isometry of its ambient transvection Lie algebra.
Keywords: Isometries, hermitian symmetric spaces, extrinsic geometry.
MSC: 32M15, 53C35, 53C40
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