主要利用Cohn解决二维情况的方法及李群理论,得到了第二类Siegel域Dn=|(w,v1,…,u(n-1))∈C^N|21mw-uu^-T〉0|上自同构群的极小抛物子群的Langlands分解,进一步得到了Dn关于Iwasawa分解的Haar测度显式.
Based on Cohn's methods in the 2-dimensional 2nd Siegel domain and Lie group theory, the Haar measure' s explicit formula of the Iwasawa decomposition on the 2nd Siegel domain Dn=|(w,v1,…,u(n-1))∈C^N|21mw-uu^-T〉0| is obtained. The langlands decomposition of a minimal parabolic subgroup of the automorphism group on Dn is also obtained.