Weakly Symmetric Spaces and Bounded Symmetric Domainshieu
نویسندگان
چکیده
In this paper, new examples of weakly symmetric spaces in the sense of A. Selberg 14] are constructed. Let G be a connected, simply-connected, simple Lie group of hermitian type and K a maximal compactly embedded subgroup of G such that D = G=K is an irreducible classical bounded symmetric domain. Let G 1 and D 1 be circle extensions of G and D, respectively. The factor of automorphy induces a twisted action of G 1 on D 1. Under this action, D 1 is weakly symmetric with respect to complex conjugation. This new result for the classical domains extends that of Selberg (Maa 9]) for the symplectic case.
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