论文标题
特殊球形空间形式的细胞化和$ sl_3（\ mathbb {r}）$的标志歧管
Cellularization for exceptional spherical space forms and the flag manifold of $SL_3(\mathbb{R})$
论文作者
论文摘要
我们构建了$（4N-1）$ - 球体相对于二进制多面体组的显式均值细胞分解，并描述了相关的细胞同源性链复合物。作为二进制八面体案例的推论，我们推断出$ sl_3（\ Mathbb {r}）$的flag歧管的$ \ mathfrak {s} _3 $ - equivariant分解。
We construct an explicit equivariant cellular decomposition of the $(4n-1)$-sphere with respect to binary polyhedral groups, and describe the associated cellular homology chain complex. As a corollary of the binary octahedral case, we deduce an $\mathfrak{S}_3$-equivariant decomposition of the flag manifold of $SL_3(\mathbb{R})$.
