Titlebook: Analysis and Geometry on Complex Homogeneous Domains; Jacques Faraut,Soji Kaneyuki,Guy Roos Textbook 2000 Springer Science+Business Media

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愚笨

Introductioni) determination of full holomorphic automorphism groups and (iv) the analytic or geometric relationship between the Šilov boundaries and the domains themselves. During the 1960’s-1970s these subjects had been the main goals for research in this field. On the other hand, the following natural questi

产生

Semisimple Graded Lie Algebras abelian subspace of . and . be a Cartan subalgebra of . containing .. Then we have ., where . and .. Let . and . be the complexifications of . and .. Then . is a Cartan subalgebra of .. Let . be the root system for the pair left .. If we put . then any root is real-valued on the real subspace . of

序曲

Symmetric R-Spacesoincides with the centralizer .(.)of . in Aut g, and that Lie .. =g..Let . be the open subgroup of Aut g generated by .. and the adjoint group of g: .= ..Adg,Let . = .. exp(g. + ··· + g.), which is a parabolic subgroup of ..

陈腐思想

Pseudo-Hermitian Symmetric Spaceshe linear isotropy representation of . is irreducible (resp. reducible), then . is called . (resp. .). If . admits a G-invariant complex structure . and a G-invariant pseudo-Hermitian metric (with respect to ., then a . is called .. Simple symmetric spaces were classified infinitesimally by Berger [

功多汁水

Exhilarate

Construction of the Hermitian Symmetric Spacesexists a unique corresponding Riemannian symmetric space, that it is actually Hermitian symmetric, and it can be realized as a bounded domain. Along the way we are also going to do quite a lot more. We shall give a description of the compact Hermitian symmetric space corresponding to the dual oiLa .

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Ledger

0743-1643 ect, each chapter unfolds from the basics to the more complex. The exposition is rapid-paced and efficient, without compromising proofs and examples that enable the reader to grasp the essentials. The most basic type of domain examined is the bounded symmetric domain, originally described and classi

admission

Constructions for one message block,on arises: What kind of homogeneous domains are there in the complement of a given symmetric domain in .? This question leads us to study semisimple pseudo-Hermitian symmetric spaces. The infinitesimal classification of such symmetric spaces is included in Berger’s work [1].