Equivariant realizations of Hermitian symmetric space of noncompact type

  title={Equivariant realizations of Hermitian symmetric space of noncompact type},
  author={Takahiro Hashinaga and Toru Kajigaya},
  journal={Mathematische Zeitschrift},
Let $M=G/K$ be a Hermitian symmetric space of noncompact type. We provide a way of constructing $K$-equivariant embeddings from $M$ to its tangent space $T_oM$ at the origin by using the polarity of the $K$-action. As an application, we reconstruct the $K$-equivariant holomorphic embedding so called the Harish-Chandra realization and the $K$-equivariant symplectomorphism constructed by Di Scala-Loi and Roos under appropriate identifications of spaces. Moreover, we characterize the holomorphic… 


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