Symmetry Characterization of Quasisymmetric Siegel Domains by Convexity of Cayley Transform Images

C. Kai

doi:10.5802/jolt.396

C. Kai

Journal of Lie Theory, Volume 16 (2006) no. 1, pp. 47-56

Abstract

We characterize symmetric Siegel domains among quasisymmetric Siegel domains by means of the Cayley transform introduced by Dorfmeister. We show that a quasisymmetric Siegel domain is symmetric if and only if its Cayley transform image is convex.

Zbl

DOI: 10.5802/jolt.396

Classification: 32M15, 32H02, 43A85
Keywords: Quasisymmetric Siegel domain, symmetric Siegel domain, Cayley transform, Jordan algebra

@article{JOLT_2006_16_1_a3,
     author = {C. Kai},
     title = {Symmetry {Characterization} of {Quasisymmetric} {Siegel} {Domains} by {Convexity} of {Cayley} {Transform} {Images}},
     journal = {Journal of Lie Theory},
     pages = {47--56},
     year = {2006},
     volume = {16},
     number = {1},
     doi = {10.5802/jolt.396},
     zbl = {1105.32016},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.396/}
}

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C. Kai. Symmetry Characterization of Quasisymmetric Siegel Domains by Convexity of Cayley Transform Images. Journal of Lie Theory, Volume 16 (2006) no. 1, pp. 47-56. doi: 10.5802/jolt.396

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