光锥上的齐次函数:某些退化主列表示的无穷小结构
Homogeneous functions on light cones: the infinitesimal structure of some degenerate principal series representations
摘要:
本文研究了$\RMO(p,q)$、$\RMU(p,q)$和$\SP(p,q)$的几种退化主列表示的约化、合成列和分支的么正性.这是通过在光锥上的齐次函数的空间中实现这些表示并写下有关组的泛包络代数的显式作用来完成的。
英文摘要:
In this paper we study the reducibility, composition series and unitarity of the components of some degenerate principal series representations of $\RMO(p,q)$, $\RMU(p,q)$ and $\SP(p,q)$. This is done by realizing these representations in paces of homogeneous functions on light cones and writing down the explicit actions of the universal enveloping algebra of the group concerned.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。