# On local CR-transformations of Levi-degenerate group orbits in compact Hermitian symmetric spaces

Journal of the European Mathematical Society (2006)

- Volume: 008, Issue: 3, page 465-490
- ISSN: 1435-9855

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topKaup, Wilhelm, and Zaitsev, Dmitri. "On local CR-transformations of Levi-degenerate group orbits in compact Hermitian symmetric spaces." Journal of the European Mathematical Society 008.3 (2006): 465-490. <http://eudml.org/doc/277555>.

@article{Kaup2006,

abstract = {We present a large class of homogeneous 2-nondegenerate CR-manifolds $M$, both of
hypersurface type and of arbitrarily high CR-codimension, with the following property: Every CR-equivalence
between domains $U$, $V$ in $M$ extends to a global real-analytic CR-automorphism of $M$. We show that this class contains $G$-orbits in Hermitian symmetric spaces $Z$ of compact type, where $G$ is a real form of the complex Lie group $\operatorname\{Aut\}(Z)^0$ and $G$ has an open orbit that is a bounded symmetric domain of tube type.},

author = {Kaup, Wilhelm, Zaitsev, Dmitri},

journal = {Journal of the European Mathematical Society},

keywords = {Hermitian symmetric spaces; tube domains; Jordan algebras; CR-equivalence problems; $2$-nondegenerate CR-manifolds; Hermitian symmetric space; tube domain; Jordan algebra; 2-nondegenerate CR-manifold},

language = {eng},

number = {3},

pages = {465-490},

publisher = {European Mathematical Society Publishing House},

title = {On local CR-transformations of Levi-degenerate group orbits in compact Hermitian symmetric spaces},

url = {http://eudml.org/doc/277555},

volume = {008},

year = {2006},

}

TY - JOUR

AU - Kaup, Wilhelm

AU - Zaitsev, Dmitri

TI - On local CR-transformations of Levi-degenerate group orbits in compact Hermitian symmetric spaces

JO - Journal of the European Mathematical Society

PY - 2006

PB - European Mathematical Society Publishing House

VL - 008

IS - 3

SP - 465

EP - 490

AB - We present a large class of homogeneous 2-nondegenerate CR-manifolds $M$, both of
hypersurface type and of arbitrarily high CR-codimension, with the following property: Every CR-equivalence
between domains $U$, $V$ in $M$ extends to a global real-analytic CR-automorphism of $M$. We show that this class contains $G$-orbits in Hermitian symmetric spaces $Z$ of compact type, where $G$ is a real form of the complex Lie group $\operatorname{Aut}(Z)^0$ and $G$ has an open orbit that is a bounded symmetric domain of tube type.

LA - eng

KW - Hermitian symmetric spaces; tube domains; Jordan algebras; CR-equivalence problems; $2$-nondegenerate CR-manifolds; Hermitian symmetric space; tube domain; Jordan algebra; 2-nondegenerate CR-manifold

UR - http://eudml.org/doc/277555

ER -

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