论文标题
在$ u的狄拉克系列中（p，q）$
On the Dirac Series of $U(p,q)$
论文作者
论文摘要
本文计算$ u（p，q）$的所有弱公平$ a _ {\ mathfrak {q}}}（λ）$模块的零索引。尽管在$ u的单一偶数（p，q）在2001年被Trapa的单一偶数构想，但在2001年被发现了vogan的猜想，但我们相信，任何不可约合的单一代表$ u（p，q）$，具有非零dirac coomomology coomomology必须是弱的$ a _ _ _ _ _ _ _ _ _ _ {\ nathfrak a _ {\ nathfrak} $ a {
This paper computes the Dirac index of all the weakly fair $A_{\mathfrak{q}}(λ)$ modules of $U(p, q)$. Although counter-examples have been found to a conjecture of Vogan on the unitary dual of $U(p, q)$ phrased by Trapa in 2001, we believe that any irreducible unitary representation of $U(p, q)$ with non-zero Dirac cohomology must be a weakly fair $A_{\mathfrak{q}}(λ)$ module.
