Details
| Original language | English |
|---|---|
| Pages (from-to) | 5261-5285 |
| Number of pages | 25 |
| Journal | Communications in algebra |
| Volume | 47 |
| Issue number | 12 |
| Publication status | Published - 2 Dec 2019 |
Abstract
We translate the axioms of a Weyl groupoid with (not necessarily finite) root system in terms of arrangements. The result is a correspondence between Weyl groupoids permitting a root system and Tits arrangements satisfying an integrality condition which we call the crystallographic property.
Keywords
- 20F55 (Primary), 17B22, 52C35 (Secondary), Coxeter group, simplicial arrangement, Tits cone, Weyl groupoid
ASJC Scopus subject areas
- Mathematics(all)
- Algebra and Number Theory
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In: Communications in algebra, Vol. 47, No. 12, 02.12.2019, p. 5261-5285.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - On the Tits cone of a Weyl groupoid
AU - Cuntz, Michael
AU - Mühlherr, B.
AU - Weigel, C. J.
N1 - Funding information: Some of the results and ideas of this note were achieved during a Mini-Workshop on Nichols algebras and Weyl groupoids at the Mathematisches Forschungsinstitut Oberwolfach in October 2012, and during meetings in Gießen, Hannover, and Kaiserslautern supported by the Deutsche Forschungsgemeinschaft within the priority programme 1388.
PY - 2019/12/2
Y1 - 2019/12/2
N2 - We translate the axioms of a Weyl groupoid with (not necessarily finite) root system in terms of arrangements. The result is a correspondence between Weyl groupoids permitting a root system and Tits arrangements satisfying an integrality condition which we call the crystallographic property.
AB - We translate the axioms of a Weyl groupoid with (not necessarily finite) root system in terms of arrangements. The result is a correspondence between Weyl groupoids permitting a root system and Tits arrangements satisfying an integrality condition which we call the crystallographic property.
KW - 20F55 (Primary), 17B22
KW - 52C35 (Secondary)
KW - Coxeter group
KW - simplicial arrangement
KW - Tits cone
KW - Weyl groupoid
UR - http://www.scopus.com/inward/record.url?scp=85068229283&partnerID=8YFLogxK
U2 - 10.1080/00927872.2019.1617873
DO - 10.1080/00927872.2019.1617873
M3 - Article
AN - SCOPUS:85068229283
VL - 47
SP - 5261
EP - 5285
JO - Communications in algebra
JF - Communications in algebra
SN - 0092-7872
IS - 12
ER -