论文标题
Hecke对主要块的行动
Hecke action on the principal block
论文作者
论文摘要
在本文中，我们构建了Aggine Hecke类别（在其“ Soergel Bimodules”化身中）的作用，对一个比大于Coxeter数字更大的特征性的代数封闭的代数封闭领域的代数封闭领域的代表群的主要代表块。这证实了G. Williamson和第二作者的猜想，并提供了倾斜角色公式的新证明，以抗球$ -P $ -KAZHDAN-LUSZTIG多项式。
In this paper we construct an action of the affine Hecke category (in its "Soergel bimodules" incarnation) on the principal block of representations of a simply-connected semisimple algebraic group over an algebraically closed field of characteristic bigger than the Coxeter number. This confirms a conjecture of G. Williamson and the second author, and provides a new proof of the tilting character formula in terms of antispherical $p$-Kazhdan-Lusztig polynomials.
