Timeline for What's concrete model for Coxeter complexes?
Current License: CC BY-SA 4.0
12 events
| when toggle format | what | by | license | comment | |
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| Apr 24, 2019 at 16:53 | history | edited | YCor |
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| Apr 24, 2019 at 16:46 | comment | added | Dima Pasechnik | sites.math.washington.edu/~billey/classes/coxeter/… is a nice book on the subject, by Bjorner and Brenti | |
| Apr 24, 2019 at 16:38 | answer | added | Sam Hopkins | timeline score: 3 | |
| Apr 23, 2019 at 19:58 | comment | added | Sam Hopkins | @RichardStanley: yes, sorry, of course. Deleted that misleading comment. Still, Zhipeng, these complexes are known as permutohedra, and so the Type D permutohedron is what you're interested in. | |
| Apr 23, 2019 at 19:50 | comment | added | Richard Stanley | @SamHopkins The order complex of the boolean algebra (with top and bottom element removed) is isomorphic to the dual of the permutohedron, and similarly for type B. | |
| Apr 23, 2019 at 16:26 | comment | added | Sam Hopkins | Maybe see the section "Face lattices of the Coxeterhedra" in Reiner and Ziegler's "Coxeter-associahedra": cambridge.org/core/journals/mathematika/article/… | |
| Apr 23, 2019 at 15:00 | comment | added | Ling | Thanks a lot! Could you recommend some good literature for it? | |
| Apr 23, 2019 at 14:19 | comment | added | Ling | I need the type D case | |
| Apr 23, 2019 at 14:09 | comment | added | Sam Hopkins | Yes to which one. | |
| Apr 23, 2019 at 13:48 | comment | added | Ling | Yes, absolutely. | |
| Apr 23, 2019 at 13:22 | comment | added | Sam Hopkins | Do you mean concrete models for the other finite types (e.g., Type D), or for Coxeter systems in general? | |
| Apr 23, 2019 at 13:18 | history | asked | Ling | CC BY-SA 4.0 |