论文标题
对称组的P-canonical基础的细胞性
Cellularity of the p-Canonical Basis for Symmetric Groups
论文作者
论文摘要
对于对称组，我们表明p-canonical可以将iWahori-Hecke代数H的细胞基础扩展到一个细胞基准，并且两侧P细胞的预订与Kazhdan-lusztig的两侧细胞预订相吻合。此外，我们表明有限晶体学Coxeter Systems的Hecke代数相同的两侧P细胞内的左（或右）P细胞是无与伦比的（属性a）。
For symmetric groups we show that the p-canonical basis can be extended to a cell datum for the Iwahori-Hecke algebra H and that the two-sided p-cell preorder coincides with the Kazhdan-Lusztig two-sided cell preorder. Moreover, we show that left (or right) p-cells inside the same two-sided p-cell for Hecke algebras of finite crystallographic Coxeter systems are incomparable (Property A).
