Simplicial arrangements on convex cones
Cuntz, Michael1 ; Mühlherr, Bernhard2 ; Weigel, Christian2
1 Leibniz Universität Hannover, Germany
2 Universität Giessen, Germany
Rendiconti del Seminario Matematico della Università di Padova, Tome 138 (2017), pp. 147-191.

We introduce the notion of a Tits arrangement on a convex open cone as a special case of (infi nite) simplicial arrangements. Such an object carries a simplicial structure similar to the geometric representation of Coxeter groups. The standard constructions of subarrangements and restrictions, which are known in the case of finite hyperplane arrangements, work as well in this more general setting.

Publié le :
DOI : 10.4171/RSMUP/138-8
Classification : 20, 17, 52
Mots-clés : Simplicial arrangement, Coxeter group, Tits cone
Cuntz, Michael 1 ; Mühlherr, Bernhard 2 ; Weigel, Christian 2

1 Leibniz Universität Hannover, Germany
2 Universität Giessen, Germany 
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     author = {Cuntz, Michael and M\"uhlherr, Bernhard and Weigel, Christian},
     title = {Simplicial arrangements on convex cones},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {147--191},
     publisher = {European Mathematical Society Publishing House},
     address = {Zuerich, Switzerland},
     volume = {138},
     year = {2017},
     doi = {10.4171/RSMUP/138-8},
     mrnumber = {3743250},
     zbl = {1393.20018},
     url = {http://www.numdam.org/articles/10.4171/RSMUP/138-8/}
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Cuntz, Michael; Mühlherr, Bernhard; Weigel, Christian. Simplicial arrangements on convex cones. Rendiconti del Seminario Matematico della Università di Padova, Tome 138 (2017), pp. 147-191. doi : 10.4171/RSMUP/138-8. http://www.numdam.org/articles/10.4171/RSMUP/138-8/

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