CARTAN-SIEGEL HOMOGENEOUS DOMAINS: SIEGEL DISK
U. S. RakhmonovTashkent state technical universityKh.M.UraimovaTIIAME national research university
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Siegel Disk has been introduced by Carl Ludwig Siegel through Symplectic Group Sp<sub>2</sub><sub>n</sub>R that is one possible generalization of the group SL<em><sub>2</sub></em>R = Sp<em><sub>2</sub></em>R (group of invertible matrices with determinant 1) to higher dimensions. This generalization goes further; since they act on a symmetric homogeneous space, the Siegel upper half plane, and this action has quite a few similarities with the action of SL<sub>2</sub>R on the Poincaré’s hyperbolic plane
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