A PARTIAL CAYLEY TRANSFORM OF Dg × C (h,g)
نویسنده
چکیده
Let Hg and Dg be the Siegel upper half plane and the generalized unit disk of degree g respectively. Let C be the Euclidean space of all h× g complex matrices. We present a partial Cayley transformation of Dg × C (h,g) onto Hg × C (h,g) which gives a partial bounded realization of Hg × C (h,g) as Dg × C . We prove that the canonical actions of the Jacobi group on Dg × C (h,g) and Hg × C (h,g) are compatible via a partial Cayley transform.
منابع مشابه
A Partial Cayley Transform of Siegel-jacobi Disk
Let Hg and Dg be the Siegel upper half plane and the generalized unit disk of degree g respectively. Let C be the Euclidean space of all h× g complex matrices. We present a partial Cayley transform of the Siegel-Jacobi disk Dg × C (h,g) onto the Siegel-Jacobi space Hg × C (h,g) which gives a partial bounded realization of Hg × C (h,g) by Dg ×C . We prove that the natural actions of the Jacobi g...
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تاریخ انتشار 2005