Details
| Original language | English |
|---|---|
| Pages (from-to) | 734-744 |
| Number of pages | 11 |
| Journal | Bulletin of the London Mathematical Society |
| Volume | 43 |
| Issue number | 4 |
| Publication status | Published - Aug 2011 |
| Externally published | Yes |
Abstract
We introduce the simple notion of a 'crystallographic arrangement' and prove a one-to-one correspondence between these arrangements and the connected simply connected Cartan schemes for which the real roots are a finite root system (up to equivalence on both sides). Thus, the classification of 'finite Weyl groupoids' leads to a complete classification of this large subclass of the class of simplicial arrangements.
ASJC Scopus subject areas
- Mathematics(all)
- General Mathematics
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In: Bulletin of the London Mathematical Society, Vol. 43, No. 4, 08.2011, p. 734-744.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Crystallographic arrangements
T2 - Weyl groupoids and simplicial arrangements
AU - Cuntz, M.
PY - 2011/8
Y1 - 2011/8
N2 - We introduce the simple notion of a 'crystallographic arrangement' and prove a one-to-one correspondence between these arrangements and the connected simply connected Cartan schemes for which the real roots are a finite root system (up to equivalence on both sides). Thus, the classification of 'finite Weyl groupoids' leads to a complete classification of this large subclass of the class of simplicial arrangements.
AB - We introduce the simple notion of a 'crystallographic arrangement' and prove a one-to-one correspondence between these arrangements and the connected simply connected Cartan schemes for which the real roots are a finite root system (up to equivalence on both sides). Thus, the classification of 'finite Weyl groupoids' leads to a complete classification of this large subclass of the class of simplicial arrangements.
UR - http://www.scopus.com/inward/record.url?scp=79960756930&partnerID=8YFLogxK
U2 - 10.1112/blms/bdr009
DO - 10.1112/blms/bdr009
M3 - Article
AN - SCOPUS:79960756930
VL - 43
SP - 734
EP - 744
JO - Bulletin of the London Mathematical Society
JF - Bulletin of the London Mathematical Society
SN - 0024-6093
IS - 4
ER -