Wall of a Coxeter group ( $H_{r}$ )

The wall associated with a reflection

r

consists of the Cayley-graph edges fixed setwise and reversed by left multiplication by

r

. Its complement has two connected components.

Table of contents
- Half-space of a Coxeter group Wall of a Coxeter group

Half-space of a Coxeter group

The two connected components of the complement of a wall of a Coxeter group are its half-spaces. A wall separates two group elements when they lie in opposite half-spaces.

 Ancestors (9)

 Incoming links (1)

Half-space of a Coxeter group

 View article source

 Discussion (0)

There are no discussions about this article yet.

 Articles by others on the same topic (0)

There are currently no matching articles.

  See all articles in the same topic Create my own version