论文标题
复杂古典谎言组的狄拉克系列：多重性 - 定理
Dirac series for complex classical Lie groups: A multiplicity-one theorem
论文作者
论文摘要
本文计算了不可约统一的Harish-Chandra模块的Dirac Sopomology $ h_d（π）$的复杂古典群体的$π$，被视为真正的还原群体。更确切地说，具有非零狄拉克共同体学的单一表示是由单一表示的单位引起的。当非零时，会有一个唯一的，多重的$ k-$ type $π$，$ h_d（π）$。这证实了第一名命名作者和Pandzic在2011年提出的猜想。
This paper computes the Dirac cohomology $H_D(π)$ of irreducible unitary Harish-Chandra modules $π$ of complex classical groups viewed as real reductive groups. More precisely, unitary representations with nonzero Dirac cohomology are shown to be unitarily induced from unipotent representations. When nonzero, there is a unique, multiplicity free $K-$type in $π$ contributing to $H_D(π)$. This confirms conjectures formulated by the first named author and Pandzic in 2011.
