论文标题
关于由简单的古典谎言超级级别产生的超级组的捆捆同学
On sheaf cohomology for supergroups arising from simple classical Lie superalgebras
论文作者
论文摘要
In this paper the authors study the behavior of the sheaf cohomology functors $R^{\bullet}\text{ind}_{B}^{G}(-)$ where $G$ is an algebraic group scheme corresponding to a simple classical Lie superalgebra and $B$ is a BBW parabolic subgroup as defined by D. Grantcharov, N. Grantcharov, Nakano and Wu.我们提供了一种系统的治疗方法，使我们能够研究这些共同体学组的行为$ r^{\ bullet} \ text {ind} _ {b}^{g} l _ {\ mathfrak f}（λ）$，其中$ l _ {\ mathfrak f}（λ）$是irreducible Albra inter in Matherah f} $。特别是，我们证明了KEMPF消失的定理和bott-borel-weil定理的类似物。
In this paper the authors study the behavior of the sheaf cohomology functors $R^{\bullet}\text{ind}_{B}^{G}(-)$ where $G$ is an algebraic group scheme corresponding to a simple classical Lie superalgebra and $B$ is a BBW parabolic subgroup as defined by D. Grantcharov, N. Grantcharov, Nakano and Wu. We provide a systematic treatment that allows us to study the behavior of these cohomology groups $R^{\bullet}\text{ind}_{B}^{G}L_{\mathfrak f}(λ)$ where $L_{\mathfrak f}(λ)$ is an irreducible representation for the detecting subalgebra ${\mathfrak f}$. In particular, we prove an analog of Kempf's vanishing theorem and the Bott-Borel-Weil theorem for large weights.
