Symmetry Characterization of Quasisymmetric Siegel Domains by Convexity of Cayley Transform Images
Journal of Lie theory, Tome 16 (2006) no. 1, pp. 47-56
Cet article a éte moissonné depuis la source Heldermann Verlag
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.
Classification :
32M15, 32H02, 43A85
Mots-clés : Quasisymmetric Siegel domain, symmetric Siegel domain, Cayley transform, Jordan algebra
Mots-clés : Quasisymmetric Siegel domain, symmetric Siegel domain, Cayley transform, Jordan algebra
@article{JLT_2006_16_1_JLT_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},
url = {http://geodesic.mathdoc.fr/item/JLT_2006_16_1_JLT_2006_16_1_a3/}
}
TY - JOUR AU - C. Kai TI - Symmetry Characterization of Quasisymmetric Siegel Domains by Convexity of Cayley Transform Images JO - Journal of Lie theory PY - 2006 SP - 47 EP - 56 VL - 16 IS - 1 UR - http://geodesic.mathdoc.fr/item/JLT_2006_16_1_JLT_2006_16_1_a3/ ID - JLT_2006_16_1_JLT_2006_16_1_a3 ER -
C. Kai . Symmetry Characterization of Quasisymmetric Siegel Domains by Convexity of Cayley Transform Images. Journal of Lie theory, Tome 16 (2006) no. 1, pp. 47-56. http://geodesic.mathdoc.fr/item/JLT_2006_16_1_JLT_2006_16_1_a3/