关于单位球的乘积B^m×Bⁿ 的全纯自同构群的注记

A Note on the Holomorphic Automorphism Group of a Product B^m×Bⁿ of the Unit Balls

设Bm 是m维复欧式空间Cm的单位球,本文利用Bm×Bn的Bergman度量方阵和实多项式1-||z||2 的不可约性,重新得到了单位球的乘积Bm×Bn的全纯自同构群Aut(Bm×Bn)。

Let Bm be the unit ball in the m dimensional complex Euclidean space Cm, in this paper using the Bergman metric of Bm×Bn and irreducibility of a polynomial 1-||z||2 , we obtain the holo-morphic automorphism group of a product Bm×Bn of the unit balls again.