Discrete Mathematics & Theoretical Computer Science
| author: | Eric Babson and Victor Reiner |
|---|---|
| title: | Coxeter-like complexes |
| keywords: | Coxeter complex, simplicial poset, Boolean complex, chessboard complex, Shephard group, unitary reflection group, simplex of groups, homology representation |
| abstract: | Motivated by the Coxeter complex associated to a Coxeter system (W,S), we introduce a simplicial regular cell
complex Δ(G,S) with a G-action
associated to any pair (G,S) where G is a
group and S is a finite set of generators for
G which is minimal with respect to inclusion. We examine
the topology of Δ(G,S), and in particular the
representations of G on its homology groups. We look
closely at the case of the symmetric group Sn
minimally generated by (not necessarily adjacent) transpositions, and
their type-selected subcomplexes. These include not only the Coxeter
complexes of type A, but also the well-studied chessboard complexes.
If your browser does not display the abstract correctly (because of the different mathematical symbols) you can look it up in the PostScript or PDF files. |
| reference: | Eric Babson and Victor Reiner (2004), Coxeter-like complexes, Discrete Mathematics and Theoretical Computer Science 6, pp. 223-252 |
| bibtex: | For a corresponding BibTeX entry, please consider our BibTeX-file. |
| ps.gz-source: | dm060205.ps.gz (176 K) |
| ps-source: | dm060205.ps (445 K) |
| pdf-source: | dm060205.pdf (314 K) |
The first source gives you the `gzipped' PostScript, the second the plain PostScript and the third the format for the Adobe accrobat reader. Depending on the installation of your web browser, at least one of these should (after some amount of time) pop up a window for you that shows the full article. If this is not the case, you should contact your system administrator to install your browser correctly.
Due to limitations of your local software, the two formats may show up differently on your screen. If eg you use xpdf to visualize pdf, some of the graphics in the file may not come across. On the other hand, pdf has a capacity of giving links to sections, bibliography and external references that will not appear with PostScript.