中文摘要：

仿射Weyl群（C4,S）可被看成仿射Weyl群（A7,S）在某个群自同构α下的不动点集合.记l：A7→N是仿射Weyl群A7上的长度函数.则l在C4上的限制为C4的权函数记作L.本文给出带权Coxeter群（C4,L）的胞腔分解.

英文摘要：

The affine Weyl group （C4, S） can be considered as the fixed point set of the N affine Weyl group （A7, S） under a certain group automorphism α. Letl：A7→N be the length function of A7. The restriction of l on C4, denoted by L, is a weighted function on C4. This paper classified the cells in weighted Coxteger group （C4, L）.