Details
| Original language | English |
|---|---|
| Pages (from-to) | 147-191 |
| Number of pages | 45 |
| Journal | Rendiconti del Seminario Matematico dell 'Universita' di Padova/Mathematical Journal of the University of Padova |
| Volume | 138 |
| Publication status | Published - 1 Jan 2017 |
Abstract
We introduce the notion of a Tits arrangement on a convex open cone as a special case of (infinite) 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.
Keywords
- Coxeter group, Simplicial arrangement, Tits cone
ASJC Scopus subject areas
- Mathematics(all)
- Analysis
- Mathematics(all)
- Algebra and Number Theory
- Mathematics(all)
- Mathematical Physics
- Mathematics(all)
- Geometry and Topology
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
In: Rendiconti del Seminario Matematico dell 'Universita' di Padova/Mathematical Journal of the University of Padova, Vol. 138, 01.01.2017, p. 147-191.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Simplicial arrangements on convex cones
AU - Cuntz, M.
AU - Muhlherr, B.
AU - Weigel, Ch J.
N1 - Publisher Copyright: © 2017, Universita di Padova. All rights reserved. Copyright: Copyright 2018 Elsevier B.V., All rights reserved.
PY - 2017/1/1
Y1 - 2017/1/1
N2 - We introduce the notion of a Tits arrangement on a convex open cone as a special case of (infinite) 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.
AB - We introduce the notion of a Tits arrangement on a convex open cone as a special case of (infinite) 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.
KW - Coxeter group
KW - Simplicial arrangement
KW - Tits cone
UR - http://www.scopus.com/inward/record.url?scp=85041526897&partnerID=8YFLogxK
U2 - 10.4171/RSMUP/138-8
DO - 10.4171/RSMUP/138-8
M3 - Article
AN - SCOPUS:85041526897
VL - 138
SP - 147
EP - 191
JO - Rendiconti del Seminario Matematico dell 'Universita' di Padova/Mathematical Journal of the University of Padova
JF - Rendiconti del Seminario Matematico dell 'Universita' di Padova/Mathematical Journal of the University of Padova
SN - 0041-8994
ER -