Details
| Original language | English |
|---|---|
| Pages (from-to) | 761-773 |
| Number of pages | 13 |
| Journal | International Journal of Algebra and Computation |
| Volume | 29 |
| Issue number | 5 |
| Publication status | Published - Aug 2019 |
Abstract
Extending earlier work by Sommers and Tymoczko, in 2016, Abe, Barakat, Cuntz, Hoge, and Terao established that each arrangement of ideal type stemming from an ideal in the set of positive roots of a reduced root system is free. Recently, Röhrle showed that a large class of the satisfy the stronger property of inductive freeness and conjectured that this property holds for all In this paper, we confirm this conjecture.
Keywords
- arrangement of ideal type, free arrangement, inductively free arrangement, Root system, Weyl arrangement, Weyl groupoid
ASJC Scopus subject areas
- Mathematics(all)
- General Mathematics
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In: International Journal of Algebra and Computation, Vol. 29, No. 5, 08.2019, p. 761-773.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Arrangements of ideal type are inductively free
AU - Cuntz, Michael
AU - Röhrle, Gerhard
AU - Schauenburg, Anne
N1 - Funding information: This work was supported by DFG-Grant RO 1072/16-1.
PY - 2019/8
Y1 - 2019/8
N2 - Extending earlier work by Sommers and Tymoczko, in 2016, Abe, Barakat, Cuntz, Hoge, and Terao established that each arrangement of ideal type stemming from an ideal in the set of positive roots of a reduced root system is free. Recently, Röhrle showed that a large class of the satisfy the stronger property of inductive freeness and conjectured that this property holds for all In this paper, we confirm this conjecture.
AB - Extending earlier work by Sommers and Tymoczko, in 2016, Abe, Barakat, Cuntz, Hoge, and Terao established that each arrangement of ideal type stemming from an ideal in the set of positive roots of a reduced root system is free. Recently, Röhrle showed that a large class of the satisfy the stronger property of inductive freeness and conjectured that this property holds for all In this paper, we confirm this conjecture.
KW - arrangement of ideal type
KW - free arrangement
KW - inductively free arrangement
KW - Root system
KW - Weyl arrangement
KW - Weyl groupoid
UR - http://www.scopus.com/inward/record.url?scp=85061512166&partnerID=8YFLogxK
U2 - 10.48550/arXiv.1711.09760
DO - 10.48550/arXiv.1711.09760
M3 - Article
AN - SCOPUS:85061512166
VL - 29
SP - 761
EP - 773
JO - International Journal of Algebra and Computation
JF - International Journal of Algebra and Computation
SN - 0218-1967
IS - 5
ER -