论文标题
janzten系数和类别的块$ \ mathcal {o}^\ mathfrak {p} $
Janzten coefficients and Blocks of category $\mathcal{O}^\mathfrak{p}$
论文作者
论文摘要
BGG类别$ \ MATHCAL {O} $及其概括$ \ Mathcal {O}^\ Mathfrak {p} $在表示理论中扮演重要角色,并导致了深远的工作。几十年来,一些基本问题仍然开放,例如类别$ \ mathcal {o}^\ mathfrak {p} $的块分解。在本文中,我们通过应用Jantzen系数理论来解决块问题。
The BGG category $\mathcal{O}$ and its generalization $\mathcal{O}^\mathfrak{p}$ play essential roles in representation theory and have led to far-reaching work. Some elementary problems remain open for several decades, such as the block decomposition of category $\mathcal{O}^\mathfrak{p}$. In this paper, we solve the problem of blocks by applying the theory of Jantzen coefficients.