Journal article

On the Tits cone of a Weyl groupoid


Authors listCuntz, M.; Muehlherr, B.; Weigel, C. J.

Publication year2019

Pages5261-5285

JournalCommunications in Algebra

Volume number47

Issue number12

ISSN0092-7872

eISSN1532-4125

DOI Linkhttps://doi.org/10.1080/00927872.2019.1617873

PublisherTaylor and Francis Group


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.



Citation Styles

Harvard Citation styleCuntz, M., Muehlherr, B. and Weigel, C. (2019) On the Tits cone of a Weyl groupoid, Communications in Algebra, 47(12), pp. 5261-5285. https://doi.org/10.1080/00927872.2019.1617873

APA Citation styleCuntz, M., Muehlherr, B., & Weigel, C. (2019). On the Tits cone of a Weyl groupoid. Communications in Algebra. 47(12), 5261-5285. https://doi.org/10.1080/00927872.2019.1617873



Keywords


ARRANGEMENTSCoxeter groupNICHOLS ALGEBRASRANK 2simplicial arrangementTits coneWeyl groupoid

Last updated on 2025-02-04 at 01:01