【摘要】 主要算出SU(n,1)中正规椭圆元g的共轭类在维效公式中的贡献: N(g)=λn-(n+1)m/|C(g)|(λ-λ1)(λ-λ2)…(λ-λn),其中m≥2,Bn表示n维超球,SU(n,1)是Bn的自同构群且在Bn上可迁;不失一般性,上式中g=对角阵(λ1,…,λn,λ)(其中λi≠λ,i=1,2,…,n)．更多还原

【Abstract】 For m≥2, the contribution from the conjugacy class of the regualr elliptic element g∈SU(n, 1) to dimension formula is N(g) =λn-(n+1)m/|C(g)|(λ-λ1)(λ-λ2)…(λ-λn) Here Bn denotes n-dimensional ball and SU(n, 1) is its group of automorphisms which act transitively on Bn and without loss of generality g=diag(λ1,…,λn,λ) withλi≠λ, i = 1, 2,…,n.更多还原