论文标题
部分狄拉克的共同体和钢化表述
Partial Dirac Cohomology and Tempered Representations
论文作者
论文摘要
真正的还原性谎言组$ g $的回火表示自然地分为与cartan子组$ h $ g $的共轭类别相关的系列。我们定义了部分狄拉克的同一个共同体，将其应用于这些$ h $ - 串联表示的各种模型的几何结构，并展示该构建如何拟合到几何量化和简直减少的框架中。
The tempered representations of a real reductive Lie group $G$ are naturally partitioned into series associated with conjugacy classes of Cartan subgroups $H$ of $G$. We define partial Dirac cohomology, apply it for geometric construction of various models of these $H$--series representations, and show how this construction fits into the framework of geometric quantization and symplectic reduction.
